Question

What is the value of x in the diagram below ?

Answer 1

x = 9

Explanation:

12^2 + a^2 = 54^2

a^2 = 54^2 - 12^2

a = sqrt (54^2 - 12^2) = 6 * sqrt(77)

Then calculate it for another triangle, where each side is 6 times shorter (as 12/2 = 6):

2^2 + (sqrt(77))^2 = x^2

x^2 = 81

x = 9