Question

What is the value of x?

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x =
What is the value of x?

Answer 1

x = 5.

Explanation:

For a right triangle, use the Pythagorean Theorem, a² + b² = c², where a and b are the sides, and c is the hypotenuse.

a² + b² = c²

x²+ 12² = 13²

x² + 144 = 169

Subtract 144 from both sides.

x² = 25

x = 5.

Proof:

a² + b² = c²

5² + 12² = 13²

25 + 144 = 169

169 = 169.

Answer 2

x = 5

Explanation:

using the Pythagorean theorem:

x² = 13² - 12² = 169 - 144 = 25

x = √25 = 5