Réponse :
a) x = 9 b) x = 1.25
Explications étape par étape :
Pythagore
a) AC² = BC² + AB²
(x+6)² = x² + 12²
x² +12x + 36 = x²+ 144
12x = 144 - 36 = 108 ==> x = 108/12 =9
b) DF² = DE² + EF²
(x+9)² = (x+1)² + 10²
x² + 18x + 81 = x² + 2x + 1 + 100
18x - 2x = 101 - 81 ==> 16x = 20 ==> x = 20/16 = 5/4 = 1.25
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Réponse :
a) x = 9 b) x = 1.25
Explications étape par étape :
Pythagore
a) AC² = BC² + AB²
(x+6)² = x² + 12²
x² +12x + 36 = x²+ 144
12x = 144 - 36 = 108 ==> x = 108/12 =9
b) DF² = DE² + EF²
(x+9)² = (x+1)² + 10²
x² + 18x + 81 = x² + 2x + 1 + 100
18x - 2x = 101 - 81 ==> 16x = 20 ==> x = 20/16 = 5/4 = 1.25