Question

Solve for the value of x in the diagram: Show your work and explain the steps you used to solve.

Answer 1

x = 20

Explanation:

The triangles are similar

3 (3+5)

----- = ----------

12 (12+x)

Using cross products

3(12+x) = 12*(3+5)

3(12+x) = 12*8

3(12+x) = 96

Divide by 3

3(12+x)/3 = 96/3

12+x = 32

Subtract 12

12+x-12 =32-12

x = 32-12

x =20