Question

Find the value of x in the triangle shown below

Answer 1

x = sqrt(27)

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

3^2 + x^2 = 6^2

9 + x^2 = 36

Subtract 9 from each side

9-9 + x^2 = 36-9

x^2 = 27

Take the square root of each side

sqrt(x^2) = sqrt(27)

x = sqrt(27)