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30-60-90 Triangles Calculator

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find side, given angle bisector
\alpha \beta \gamma \theta \pi = \cdot \frac{\msquare}{\msquare} x^2 \sqrt{\square} \msquare^{\circ}
\:\:\:\bullet^{A} \angle \overline{AB} \sim \cong \angle \overline{AB} \overarc{AB}
\bigtriangleup \square \bigcirc \bigtriangleup S P \perpendicular \parallel
 
Given Prove Find
 
 
Given:
 
Angles
Example thumbnail for Find angle - Given two angles in a triangle

Find angle

Given two angles in a triangle
Example thumbnail for Find angle - Given angles

Find angle

Given angles
Example thumbnail for Find angle - Given two angles

Find angle

Given two angles
Example thumbnail for Find angle - Given angle and perpendicular line

Find angle

Given angle and perpendicular line
Parallel Lines
Example thumbnail for Find angle - Given angle

Find angle

Given angle
Example thumbnail for Prove right angle - Given angle bisector

Prove right angle

Given angle bisector
Triangles
Example thumbnail for Find side - Given sides and perimeter

Find side

Given sides and perimeter
Example thumbnail for Find angles - Given angle ratios

Find angles

Given angle ratios
Example thumbnail for Find side - Given area and altitude

Find side

Given area and altitude
Example thumbnail for Find segment - Given sides and perpendicular line

Find segment

Given sides and perpendicular line
Example thumbnail for Find angle - Given midsegment and angles

Find angle

Given midsegment and angles
Example thumbnail for Find side - Given area and altitude

Find side

Given area and altitude
Example thumbnail for Find area - Given altitude, median, and side

Find area

Given altitude, median, and side
Example thumbnail for Find segment - Given medians and side

Find segment

Given medians and side
Example thumbnail for Find angle - Given angles and midsegment

Find angle

Given angles and midsegment
Isosceles Triangles
Example thumbnail for Find angle - Given angle

Find angle

Given angle
Example thumbnail for Prove isosceles triangle - Given equal segments and altitude

Prove isosceles triangle

Given equal segments and altitude
Example thumbnail for Prove equal angles, equal sides, and altitude - Given angle bisector

Prove equal angles, equal sides, and altitude

Given angle bisector
Example thumbnail for Find angles - Given angle

Find angles

Given angle
Example thumbnail for Prove isosceles triangle - Given angle bisector

Prove isosceles triangle

Given angle bisector
Example thumbnail for Find angle and segment - Given altitude and angle bisector

Find angle and segment

Given altitude and angle bisector
Example thumbnail for Find angles - Given parallel lines

Find angles

Given parallel lines
Example thumbnail for Prove equal angles - Given angle bisector

Prove equal angles

Given angle bisector
Example thumbnail for Prove isosceles triangle - Given median and equal segments

Prove isosceles triangle

Given median and equal segments
Equilateral Triangles
Example thumbnail for Find area - Given perimeter

Find area

Given perimeter
Example thumbnail for Find perimeter - Given height

Find perimeter

Given height
Pythagorean Theorem
Example thumbnail for Find hypotenuse - Given sides

Find hypotenuse

Given sides
Right Triangles
Example thumbnail for Find angles - Given angles

Find angles

Given angles
Example thumbnail for Find sides - Given side and angle

Find sides

Given side and angle
Example thumbnail for Find area - Given angle and segments

Find area

Given angle and segments
Example thumbnail for Prove parallel segments - Given angle bisector

Prove parallel segments

Given angle bisector
30-60-90 Triangles
Example thumbnail for Find side - Given angle bisector

Find side

Given angle bisector
Example thumbnail for Find segment - Given altitude

Find segment

Given altitude
Example thumbnail for Find side - Given segment

Find side

Given segment
Congruent Triangles
Example thumbnail for Prove equal angles - Given angles and equal sides

Prove equal angles

Given angles and equal sides
Example thumbnail for Prove congruent triangles - Given congruent triangles and medians

Prove congruent triangles

Given congruent triangles and medians
Example thumbnail for Prove congruent triangles - Given angle bisector and angles

Prove congruent triangles

Given angle bisector and angles
Example thumbnail for Prove congruent triangles - Given isosceles triangle and altitude

Prove congruent triangles

Given isosceles triangle and altitude
Example thumbnail for Prove congruent triangles - Given three pairs of equal segments

Prove congruent triangles

Given three pairs of equal segments
Example thumbnail for Prove congruent triangles - Given equal segments and sides

Prove congruent triangles

Given equal segments and sides
Example thumbnail for Prove congruent triangles - Given isosceles triangle and angle bisectors

Prove congruent triangles

Given isosceles triangle and angle bisectors
Example thumbnail for Prove congruent triangles - Given sides

Prove congruent triangles

Given sides
Example thumbnail for Prove congruent triangles - Given equal angles and equal sides

Prove congruent triangles

Given equal angles and equal sides
Example thumbnail for Prove congruent triangles - Given equal angles

Prove congruent triangles

Given equal angles
Example thumbnail for Prove congruent triangles - Given isosceles triangle and altitude

Prove congruent triangles

Given isosceles triangle and altitude
Example thumbnail for Prove congruent triangles - Given parallel and equal sides

Prove congruent triangles

Given parallel and equal sides
Example thumbnail for Prove equal segments - Given equal angles and sides

Prove equal segments

Given equal angles and sides
Example thumbnail for Prove equal segments - Given isosceles triangle and equal angles

Prove equal segments

Given isosceles triangle and equal angles
Example thumbnail for Prove equal segments - Given isosceles triangle, and perpendicular lines

Prove equal segments

Given isosceles triangle, and perpendicular lines
Similar Triangles
Example thumbnail for Prove similar triangles - Given sides and angles

Prove similar triangles

Given sides and angles
Example thumbnail for Prove similar triangles - Given angles

Prove similar triangles

Given angles
Example thumbnail for Prove similar triangles - Given parallel sides

Prove similar triangles

Given parallel sides
Example thumbnail for Prove similar triangles - Given right triangle and altitude

Prove similar triangles

Given right triangle and altitude
Squares
Example thumbnail for Prove congruent triangles - Given equal segments

Prove congruent triangles

Given equal segments
Example thumbnail for Prove right triangle - Given equal segments

Prove right triangle

Given equal segments
Example thumbnail for Find perimeter - Given side

Find perimeter

Given side
Example thumbnail for Find area - Given perimeter

Find area

Given perimeter
Rectangles
Example thumbnail for Prove equal segments - Given equal segments

Prove equal segments

Given equal segments
Example thumbnail for Find area - Given sides and area

Find area

Given sides and area
Example thumbnail for Find sides - Given perimeter

Find sides

Given perimeter
Example thumbnail for Find angles - Given diagonals

Find angles

Given diagonals
Example thumbnail for Prove rectangle - Given parallelogram and equal angles

Prove rectangle

Given parallelogram and equal angles
Parallelograms
Example thumbnail for Prove parallelogram - Given equal angles

Prove parallelogram

Given equal angles
Example thumbnail for Find perimeter - Given sides

Find perimeter

Given sides
Example thumbnail for Find altitude - Given side and area

Find altitude

Given side and area
Example thumbnail for Find area - Given sides and altitude

Find area

Given sides and altitude
Example thumbnail for Find area - Given diagonals and triangle area

Find area

Given diagonals and triangle area
Example thumbnail for Prove inscribed parallelogram - Given altitudes

Prove inscribed parallelogram

Given altitudes
Example thumbnail for Find ratio between diagonal and segment - Given diagonals and altitude

Find ratio between diagonal and segment

Given diagonals and altitude
Example thumbnail for Prove 90-degree angle - Given angle bisectors

Prove 90-degree angle

Given angle bisectors
Example thumbnail for Prove parallelogram and congruent triangles - Given diagonal

Prove parallelogram and congruent triangles

Given diagonal
Example thumbnail for Find angles - Given angle

Find angles

Given angle
Example thumbnail for Prove inscribed parallelogram - Given parallel segments

Prove inscribed parallelogram

Given parallel segments
Trapezoids
Example thumbnail for Prove parallelogram - Given parallel segments

Prove parallelogram

Given parallel segments
Example thumbnail for Find segments - Given midsegment

Find segments

Given midsegment
Example thumbnail for Prove parallelogram - Given midsegment

Prove parallelogram

Given midsegment
Example thumbnail for Prove right angle - Given midsegment and angle bisector

Prove right angle

Given midsegment and angle bisector
Isosceles Trapezoids
Example thumbnail for Find angles - Given sum of angles

Find angles

Given sum of angles
Example thumbnail for Find angles - Given diagonal and angles

Find angles

Given diagonal and angles
Example thumbnail for Prove isosceles trapezoid - Given sum of angles

Prove isosceles trapezoid

Given sum of angles
Example thumbnail for Prove isosceles trapezoid - Given isosceles triangle

Prove isosceles trapezoid

Given isosceles triangle
Example thumbnail for Prove congruent triangles - Given diagonals

Prove congruent triangles

Given diagonals
Example thumbnail for Find area - Given diagonal and angle bisector

Find area

Given diagonal and angle bisector
Example thumbnail for Prove isosceles trapezoid - Given rectangle and equal segments

Prove isosceles trapezoid

Given rectangle and equal segments
Kites
Example thumbnail for Prove kite - Given equal angles

Prove kite

Given equal angles
Example thumbnail for Find sides - Given diagonals

Find sides

Given diagonals
Example thumbnail for Find area - Given diagonals

Find area

Given diagonals
Example thumbnail for Prove kite - Given circle and radii

Prove kite

Given circle and radii
Rhombuses
Example thumbnail for Prove equal segments - Given equal segments

Prove equal segments

Given equal segments
Example thumbnail for Prove isosceles triangle - Given diagonals

Prove isosceles triangle

Given diagonals
Example thumbnail for Prove isosceles triangles, parallelogram, and midsegment - Given segment bisector

Prove isosceles triangles, parallelogram, and midsegment

Given segment bisector
Example thumbnail for Find angles - Given angle

Find angles

Given angle
Circumferences
Example thumbnail for Find circumference - Given diameter

Find circumference

Given diameter
Example thumbnail for Find circumference and area - Given radius

Find circumference and area

Given radius
Example thumbnail for Find diameter and radius - Given circumference

Find diameter and radius

Given circumference
Circle Area
Example thumbnail for Find radius - Given area

Find radius

Given area
Example thumbnail for Find area and circumference - Given radius

Find area and circumference

Given radius
Example thumbnail for Find area - Given diameter

Find area

Given diameter
Circle Angles, Tangents, and Chords
Example thumbnail for Find angle - Given diameter

Find angle

Given diameter
Example thumbnail for Find angle - Given tangent

Find angle

Given tangent
Example thumbnail for Prove isosceles triangle - Given perpendicular line

Prove isosceles triangle

Given perpendicular line
Example thumbnail for Find angles - Given tangent

Find angles

Given tangent
Example thumbnail for Prove midsegment - Given isosceles triangle

Prove midsegment

Given isosceles triangle
Inscribed Circles
Example thumbnail for Prove isosceles triangle - Given tangent

Prove isosceles triangle

Given tangent
Example thumbnail for Find perimeter - Given tangent

Find perimeter

Given tangent
Circumscribed Circles
Example thumbnail for Find angles - Given radius

Find angles

Given radius
Example thumbnail for Prove circle center - Given equilateral triangle

Prove circle center

Given equilateral triangle
Example thumbnail for Find area - Given equilateral triangle and radius

Find area

Given equilateral triangle and radius
Compound Shapes
Example thumbnail for Find pentagon area - Given square area and triangle area

Find pentagon area

Given square area and triangle area
Example thumbnail for Find rectangle area - Given square and rectangle

Find rectangle area

Given square and rectangle