Example The hypotenuse of an isosceles right triangle is 8 ft long. Find the length of a leg. Give an exact answer and an approximation to.

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Presentation transcript:

Example The hypotenuse of an isosceles right triangle is 8 ft long. Find the length of a leg. Give an exact answer and an approximation to three decimal places. Solution 45o a 8 Exact answer: Approximation:

a 2a 2a a a

Example The shorter leg of a 30o-60o-90o right triangle measures 12 in. Find the lengths of the other sides. Give exact answers and, where appropriate, an approximation to three decimal places. Solution The hypotenuse is twice as long as the shorter leg, so we have 12 60o 30o c = 2a 2a c = 2(12) c = 24 in. The length of the longer leg is the length of the shorter leg times This gives us Exact answer: Approximation: