Answer :

The value of x from the triangle is 12

How to determine the value

Given the sides as;

  • Hypotenuse = 15
  • opposite = x
  • Adjacent = 9

Using the Pythagorean theorem

Hypotenuse square = opposite square + adjacent square

Substitute the value, we have;

15² = x ² + 9²²

Find the squares

225= x² + 81

collect like terms

225 - 81 = x²

144 = x²

Take the square root of both sides

x √144

x = 12

Thus, the value of x from the triangle is 12

Learn more about Pythagorean theorem here:

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