Find the Length of the two shorter Sides?

Question

If a right triangle has a hypotenuse with length 15cm. If one of the acute angles of the triangle is 35 degrees, find the length of the two shorter sides of the triangle.

So far I did:

Sin 35 = b/15

b= (15) sin35degrees

b= 8.6

and for the other length

Cos35= a/15

a= (15) cos35 degrees

a= 12.3

I am not sure if the answers are a= 12.3 and b= 8.6

Can someone help?

10 POINTS

Answer 1

u did it right !!!

easy way to check your answer is to use the pythagorean theorem

a^2 + b^2 = c^2