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Home > GC > Chapter Ch8 > Lesson 8.1.5 > Problem 8-50

8-50.

Without using your calculator, find the exact values of and in each diagram below.  

All three triangles are special right triangles. Refer to the Math Note from Lesson 5.3.1 for shortcuts to find the lengths of sides of special right triangles.

  1. A right triangle with a height of 9, base of, Y, and hypotenuse of X. 60 degrees is the angle opposite, the base, Y.

    , 

  1. A right triangle with legs, 24, and, y. The hypotenuse is, X, A 45 degree angle is opposite the side, 24.

    , 

  1. A right triangle with legs, 8, and X, and hypotenuse, Y. The side opposite the 30 degrees angle, X.

    Refer to parts (a) and (b).

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