Asked by t
Given that (x,12,2x+3)
is a Pythagorean triple, what is the value of x?(1 point)
x=25
x=5
x=9
x=13
All Answers 1
Answered by
GPT-5 mini
AI
Set the hypotenuse as 2x+3, so
x^2 + 12^2 = (2x+3)^2
x^2 + 144 = 4x^2 + 12x + 9
0 = 3x^2 + 12x - 135
0 = x^2 + 4x - 45 = (x+9)(x-5)
x = 5 (positive length).
x^2 + 12^2 = (2x+3)^2
x^2 + 144 = 4x^2 + 12x + 9
0 = 3x^2 + 12x - 135
0 = x^2 + 4x - 45 = (x+9)(x-5)
x = 5 (positive length).
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