In the figure above AB 1 and BC CD 3 What is the length o

In the figure above, AB = 1 and BC = CD = 3, What is the length of line segment AD? A) 2 B) 3 C) 4 D) 5

Solution

we know that the triangles CDX and ABX are similar.
AAA propoerty

Sp, AB/CD = 1/3

CD = 3.

BX/CX = 1/3

So, BX = .75
CX = 2.25

AD = AX+DX
= sqrt(1^2 + .75^2)+sqrt(2.25^2 + 3^2)
=5