Question

Solve for x.....................

Answer 1

The answer that’s you are looking for for this problem is 15

Answer 2

15

Explanation:

In order to find the the value of x, first we need to calculate the length of the perpendicular dropped from the right angle to the hypotenuse of the given triangle.

Therefore, by geometric mean property, we have:

`l(perpendicular) \\ = √(9 * (25 - 9)) \\ = √(9 * 16) \\ = √(144) \\ l(perpendicular) = 12 \: units \\ \\ Now \: by \: Pythagoras \: Theorem:\\ {x}^(2) = {9}^(2) + {12}^(2) \\ {x}^(2) = 81 + 144 \\ {x}^(2) = 225 \\ x = √(225) \\ x = 15`