Question

Given that the triangles are similar, find the value of x. Find the length of NR. S T 40 60 R 2x-2 8
N
M
X=
NR =

Answer 1

Answer:

NR = 12

Step-by-step explanation:

Given that both trjangles are similar, therefore, it follows that their corresponding side lengths would be proportional to each other. Thus:

$\frac{40}{8} = \frac{60}{2x - 2}$

$5 = \frac{60}{2x - 2}$

Cross multiply

$5(2x - 2) = 60$

$10x - 10 = 60$

$10x = 60 + 10$ (addition property of equality)

$10x = 70$

Divide both sides by 10

x = 7

✔️NR = 2x - 2

Plug in the value of x

NR = 2(7) - 2 = 14 - 2

NR = 12