Question

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

Answer 1

this triangle has sides in ratio 2: 1 : sqrt3 where 2 = hypotenuse

Answer 2

so if 2 corresponds to 22 what does 1 and sqrt3 correspond to?

Answer 3

i have no idea. i missed this lessson. do i use the pythagreon therom?

Answer 4

no - just use proportionality
hypotenuse/ short side = 2 / 1 = 22/x where x = shortest side
giving 2x = 22 so x = 11
11 is length of shortest side
in the same for the longest leg:

2 / sqrt 3 = 22 / x
solve for x

Answer 5

thanks

Answer 6

yw