(2x + 1)² = x² + (x + 7)²
4x² + 4x + 1 = x² + x² + 14x + 49
4x² + 4x + 1 = 2x² + 14x + 49
4x² - 2x² + 4x - 14x + 1 - 49 = 0
2x² - 10x - 48 = 0
x² - 5x - 24 = 0
(x - 8)(x + 3) = 0
x - 8 = 0
x = 8
x + 3 = 0
x = -3 (tidak memenuhi)
panjang hipotenusa
= 2x + 1
= 2(8) + 1
= 16 + 1
= 17 cm
Jawaban B
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(2x + 1)² = x² + (x + 7)²
4x² + 4x + 1 = x² + x² + 14x + 49
4x² + 4x + 1 = 2x² + 14x + 49
4x² - 2x² + 4x - 14x + 1 - 49 = 0
2x² - 10x - 48 = 0
x² - 5x - 24 = 0
(x - 8)(x + 3) = 0
x - 8 = 0
x = 8
x + 3 = 0
x = -3 (tidak memenuhi)
panjang hipotenusa
= 2x + 1
= 2(8) + 1
= 16 + 1
= 17 cm
Jawaban B