" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2025 KUDO.TIPS - All rights reserved.
Verified answer
Bab SegitigaMatematika SMP Kelas VIII
luas = 1/2 . alas . tinggi = 2x² + 18x + 40
1/2 . (2x + 8) . tinggi = 2 (x² + 9x + 20)
(x + 4) . tinggi = 2 (x + 4) (x + 5)
tinggi = 2 . (x + 5) (x + 4) / (x + 4)
tinggi = (2x + 10) cm
tripel pitagoras
(1/2 . (2x + 8))² + (2x + 10)² = (5x + 8)²
(x + 4)² + 4x² + 40x + 100 = 25x² + 80x + 64
x² + 8x + 16 + 4x² + 40x + 100 = 25x² + 80x + 64
25x² - 5x² + 80x - 48x + 64 - 116 = 0
20x² + 32x - 52 = 0
5x² + 8x - 13 = 0
(5x + 13) (x - 1) = 0
5x + 13 = 0
5x = -13
x = -13/5 (tidak memenuhi karena negatif)
atau
x - 1 = 0
x = 1 (memenuhi karena positif)
tinggi = 2x + 10
= 2 . 1 + 10
= 2 + 10
= 12 cm
jawabannya C