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45 o. 8. a. 45 o. a. 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. Exact answer : Approximation :. 2 a. 2 a. a. a. a. Example.

Example

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45o

8

a

45o

a

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

Approximation:

2a

2a

a

a

a

Example

The length of the longer leg is the length of the shorter leg times This gives us

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

c = 2a

2a

c = 2(12)

c = 24 in.

30o

60o

12