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

1. rebecca1233 Group Title

@tcarroll010

2. cwest50813 Group Title

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

3. rebecca1233 Group Title

huh

4. tcarroll010 Group Title

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 Group Title

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

6. rebecca1233 Group Title

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

7. tcarroll010 Group Title

yes.

8. rebecca1233 Group Title

so thats the longer leg?

9. tcarroll010 Group Title

yes.