Question

This is my last question for an assignment I'm doing. Cannot fathom what I'm supposed to do. Assuming it has to do with Right Triangle Proportions. Any help would be greatly appreciated.

Answer 1

x = √7

Explanation:

First find the missing angle of the triangle with the side as 5, and the hypotenuse as 6.

a² + b² = c²

5² + b² = 6²

25 + b² = 36

b² = 11

b = √11

So now we know that for the triangle with sides 2 and x, the hypotenuse is √11. Now use the Pythagorean Theorem to find x.

a² + b² = c²

2² + x² = (√11)²

4 + x² = 11

x² = 7

x = √7.