Special Right Triangles

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Presentation transcript:

Special Right Triangles

Pythagorean Theorem Review Multi-step Pythagorean Theorem Problems #7-9, 11-16

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 Kuta Software (multi-step) IXL

Application: Find the height of the tower.