Question

In the diagram below, triangle A is similar to triangle B. What is the value of n?

Answer 1

Answer:

n = 2

Step-by-step explanation:

Since ∆A is similar to ∆B, therefore, the ratio of their corresponding sides would be equal.

Thus:

$\frac{10}{n + 2} = \frac{6}{3}$

$\frac{10}{n + 2} = 2$

Multiply both sides by (n + 2)

$\frac{10}{n + 2}(n + 2) = 2(n + 2)$

$10 = 2n + 4$

Subtract 4 from each side

$10 - 4 = 2n + 4 - 4$

$6 = 2n$

Divide both sides by 2

$\frac{6}{2} = \frac{2n}{2}$

$3 = n$

n = 2