Question

AABC - AXYZ, use the diagram below to find the value of x. Y B В 14 8 10 Ć A x + 2 X Х

Answer 1

If the triangles are congruent, that means that their sides have the same proportions, so we can write:

`(14)/(10)=(x+2)/(17.5)`

Now we have to solve this equation for x:

`14(17.5)\text{ = 10(x + 2)}`

245 = 10x + 20

10x = 245 - 20 = 225

x = 225/10 = 22.5

x = 22.5

Answer:

x = 22.5