Question

Use the image to answer the question.

On right triangle upper A upper C upper B, the altitude of vertex upper A is drawn as a solid line that extends from upper A to the hypotenuse, upper B upper C. The intersection of the altitude and upper B upper C is labeled upper D.

Use the steps from the proof of the Pythagorean Theorem to find x.

(1 point)
Responses

x=169/8
x equals Start Fraction 169 over 8 End Fraction

x=169/144
x equals Start Fraction 169 over 144 End Fraction

x=12
x equals 12

x=169/12
x equals Start Fraction 169 over 12 End Fraction

Answer 1

x = 12

Reason: Using the Pythagorean relation x^2 + 5^2 = 13^2 → x^2 + 25 = 169 → x^2 = 144 → x = 12.