Special Right Triangles 45-45-90 30-60-90

Special Right Triangles 45-45-90 30-60-90

Theorem In a Right triangle, if the acute angles are 45 degrees, then the legs are equal and the hypotenuse equals the length of the leg times square root of two.

Solve for x 45 5 x

Solve for x 45 5 x 5 2 5

Solve for a a a 45 45 12

Solve for a 12 a 2 12 a 2 a a 12 2 6 2 a 2 45 45 12

Theorem In a Right triangle, if the acute angles are thirty degree and sixty degree, then the side across the hypotenuse is twice the side across from the thirty degree angle. The side across from the sixty degree equals the sides across from the thirty degree angle times square root of three.

Solve for x and r 60 r 8 30 x

Solve for x and r 60 r 16 8 30 x 8 3

Find r and x 30 r 18 x 60

Find r and x 30 r 18 x 60 18 x 3 18 18 3 6 3 x 3 3

Find r and x 30 18 r 12 3 60 x 6 3

Burn into your memory the 30-60-90 and 45-45-90 triangles. When you do the Unit Circle, you will need it

Homework Page 554 – 555 # 12 - 26

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