Special Right Triangles

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Presentation transcript:

Special Right Triangles Theorem 7.6 – Isosceles Right Triangle Theorem In an isosceles right triangle, the length of the hypotenuse is 2 times the length of a leg. BC = 6.01* 2 cm

WALLPAPER TILING If each 45°-45°-90° triangle in the figure has a hypotenuse of millimeters, what is the perimeter of the entire square? Answer: 80 mm Example 3-1c

Find b. Answer: Example 3-2c

Special Right Triangles Theorem 7.7 - 30-60-90 Theorem In a 30-60-90 triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is 3 times the length of the shorter leg. BC = 6.40 cm BD = 3.2 * 3 cm

Find BC. Answer: BC = 8 in. Example 3-3c