Question

Find the value of x in the triangle shown below.

Answer 1

sqrt(65) =x

Explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

4^2 + 7^2 = x^2

16+49 = x^2

65 = x^2

Take the square root of each side

sqrt(65) =sqrt(x^2)

sqrt(65) =x