Question

In the right triangle ABC mc=90, a=4, and sinA=1/2. what is the length of the hypotenuse?

Answer 1

The length of the hypotenuse is 8 units

Explanation:

Recall the notation SOH CAH TOA. This means that in aright angled triangle,

Sin A = a/c where a is the length of the opposite side and c is the length of the hypotenuse.

Given that sinA=1/2 and a = 4, the hypotenuse c

sin A = 4/c

1/2 = 4/c

cross multiply

c * 1 = 4 * 2

c = 8 units