Question

0

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

NR = 12

Explanation:

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

`(40)/(8) = (60)/(2x - 2)`

`5 = (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