Use the given figure to find the length of x.

x = 18

Step-by-step explanation:

This problem can be solved using concept of Pythagoras theorem.

Pythagoras theorem states that in a right angled triangle, if "a" and "b" are sides containing the right angle and h is hypotenuse then the relation between them is

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Given in the problem

a = 24

b = x

h = x+12

applying Pythagoras theorem

for (x+12)^2 we have used formula

Thus, value of x is 18.