Question

The two triangles in the diagram are similar. There are two possible values of x. Work out each of these values. State ALL of your workings out.

Answer 1

Answer:

X = 2

Step-by-step explanation:

Since two triangles ΔACD and ΔABE are similar triangles, their corresponding sides will be proportional.

Therefore, $\frac{\text{AC}}{\text{AB}}=\frac{\text{AD}}{\text{AE}}$

By substituting the measures of the sides in the expression,

$\frac{(x+10)}{10}=\frac{(15+3)}{15}$

15(x + 10) = 180

x + 10 = 12

x = 12 - 10

x = 2

Therefore, for the given similar triangles value of x = 2