## rebecca1233 2 years ago The hypotenuse of a 30°- 60°- 90° right triangle measures 22 cm. What are the lengths of the longer leg and shorter leg? @tcarroll010

1. rebecca1233

@tcarroll010

2. cwest50813

short leg =11 longer leg= 11$\sqrt{3}$

3. rebecca1233

huh

4. tcarroll010

The shorter leg of a 3-60-90 degree right triangle is half the hypotenuse, so the shorter leg is 11. Let "x" be the length of the longer leg, then: x^2 + 11^2 = 22^2 x^2 = 22^2 - 11^2

5. cwest50813

you multiply the 11 and the square root of three together to get longer leg

6. rebecca1233

x^2 = 22^2 - 11^2 gives u 19.05?

7. tcarroll010

yes.

8. rebecca1233

so thats the longer leg?

9. tcarroll010

yes.

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