Question

ΔABC and ΔXYZ are similar triangles. If BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4, find the value of x.

Answer 1

-1

Explanation:

Answer 2

we are given that ΔABC and ΔXYZ are similar triangles.

As we know , when two triangles are similar then the ratios of their corrsponding sides are equal.

Here we have

BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4

So we can write

`(x+9)/(x+5)= (x+7)/(x+4)\\ \\ (x+9)(x+4)=(x+7)(x+5)\\ \\ x^2+13x+36=x^2+12x+35\\ \\ 13x-12x=35-36\\ \\ x=-1\\ \\`

Hence then value of x=-1.