Question

Solve for x
A
6
с
3
B
3
E
x
D

Answer 1

When a triangle is in another triangle, they are similar triangles.
So,
AB/CB = AD/DE; DE = x
6/3 = (6+3)/x
6/3 = 9/x
6x = 9 x 3; cross multiply
6x = 27
x = 27/6 = 4.5

Therefore, x = 4.5