special right triangles

Special Right Triangles

Pythagorean Theorem Review

Pythagorean Theorem Practice

Special Right Triangle Investigation: 45-45-90

 • Draw an isosceles right triangle with legs

that measure 4 cm.

• Use the Pythagorean Theorem to find the length of the hypotenuse. Leave answer in simplest radical form.

• Repeat the steps above for an isosceles right triangle with legs that measure 7 cm.

• Now draw an isosceles right triangle with a hypotenuse that measures 12 cm.

• Use the Pythagorean Theorem to find the length of the congruent legs. Leave your answer in simplest radical form. 

Special Right Triangle Investigation: 30-60-90

 • Draw an equilateral triangle with side lengths of 6 cm.

• Draw the perpendicular bisector from the top vertex.

• Label the angle measures.

• Use the Pythagorean Theorem to find the height of the triangle. Leave answer in simplest radical form.

• Repeat the steps above for an equilateral triangle with side lengths of 10 cm.

Videos

• 45-45-90 Triangles

• 30-60-90 Triangles

Practice

• Khan Academy

• Kuta Software

• IXL