Question

Find the missing length??

Answer 1

Answer:

? = x = 12

Step-by-step explanation:

Remark

This is a proportion question. A proportion is 2 equal ratios. The two triangles are similar, which means that a proportion can be set up.

Givens

? = x

x + 8

9

9 + 6

Equation

x/(x + 8) = 9 / (9 + 6)       Combine

Solution

x/(x + 8) = 9/15                Cross multiply

15x = 9(x + 8)                  Remove the brackets

15x = 9x + 72                  Subtract 9x from both sides

15x - 9x = 72                   Combine

6x = 72                            Divide both sides by 6

6x/6 = 72/6

x = 12

Answer x = 12