Question

If Triangle ABC~trIangle DEC, find the value of x and y."

Answer 1

The right answer would be (D) x = 1.

Explanation:

So since triangles ABC and DEC are congruent to each other, your gonna try to find the value of x. So from the figure we know that AB = 4x - 1, BC = 4, AC = 5, DE = x+2, CE = 4 and EC = 5. And since ΔABC ≅ ΔDEC the corresponding sides would be equal. And after, we will have :

AB = DE

4x - 1 = x + 2

4x - x =2 + 1

3x = 3

x = 1

So, as it shows, the value of x is one. So (D) x = 1 is the right answer. Hope this helped! :)