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ΔABC and ΔXYZ are similar triangles. If BC = x + 7, AC = x + 6, YZ = 4 − x, and XZ = 3 − x, find the value of x.

Respuesta :

sarkhan2018
Since these triangles are similar, we have proportional sides. We can write that [tex] \frac{x+7}{4-x} = \frac{x+6}{3-x} [/tex]. Solving it, we find that x=-1.5

Answer:

-3/2 or -1.5

Step-by-step explanation:

-3/2 = -1.5

BC = -1.5 + 7 = 5.5

AC = -1.5 + 6 = 4.5

YZ = 4 - (-1.5) = 5.5

XZ = 3 - (-1.5) = 4.5

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