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

(1 point)
Responses

x=16912

x equals Start Fraction 169 over 12 End Fraction

x=169144

x equals Start Fraction 169 over 144 End Fraction

x=12

x equals 12

x=1698

Answer 1

x = 12

Reason: If BC = 13 and AC = 5 (as shown), then by the Pythagorean relation
x^2 + 5^2 = 13^2 => x^2 = 169 − 25 = 144 => x = 12.