Question

How do I find the value of X and Y?

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

triangle ABC:

CA = 10

AB = 8

CB = 6

triangle DEF:

FD = x

DE = 12

FE = y

Step 02:

similar triangles:

`\begin{gathered} (CA)/(FD)=(AB)/(DE) \\ (10)/(x)=(8)/(12) \end{gathered}`

10 * 12 = 8 * x

120 = 8x

120 / 8 = x

15 = x

`\begin{gathered} (CB)/(FE)=(AB)/(DE) \\ (6)/(y)=(8)/(12) \end{gathered}`

6 * 12 = 8 * y

72 = 8y

72 / 8 = y

9 = y

The answer is:

x = 15

y = 9