## anonymous 3 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. anonymous

@tcarroll010

2. anonymous

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

3. anonymous

huh

4. anonymous

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. anonymous

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

6. anonymous

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

7. anonymous

yes.

8. anonymous

so thats the longer leg?

9. anonymous

yes.