Question

In the 30-60-90 triangle below, side s has a length of and the hypotenuse has a length of

Answer 1

are there any dimensions on the triangle? or is it in terms of s? if so the answer would be 2s/sqrt(3) or you can rationalize the bottom and youd get 2sqrt(3)s/3

Answer 2

Explanation:

We know that sin30 =1/2

Hence smaller side = 1/2 of hypotenuse

The other side would be

sqrt 3/2 of hypotenuse

In a 30-60-90 triangle we have sides will be in ratio

s,sqrt 3s and 2s

IN other words, hypotenuse will be 2 times smaller side

THus hypotenuse will have length =2s