Question

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

Answer 1

@tcarroll010

Answer 2

short leg =11
longer leg= 11\[\sqrt{3}\]

Answer 3

huh

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

yes.

Answer 8

so thats the longer leg?

Answer 9

yes.