Question

30 60 90 triangle. Hypotenuse 40. Find legs X and y

Answer 1

just a quick addition to the great reply above by "krr2007"

Check the picture below.

Answer 2

X = 20 and Y = √3*20, or about 34.64

Explanation:

In a 30-60-90 triangle, the hypotenuse is double the length of the shorter leg. To find the length of the shorter leg with the hypotenuse, just divide the length of the hypotenuse by 2. 40/2=20

In a 30-60-90 triangle, the longer leg is equal to the square root of 3 times the length of the shorter leg. √3(20)=34.6410161514, which can be rounded to 34.64