Question

Find the value of x.
2x
80
27
60
X =

Answer 1

x = 18

Explanation:

The inner and outer triangles are similar, thus the ratios of corresponding sides are equal, that is

`(80)/(80+2x)` =
`(60)/(60+27)` =
`(60)/(87)` ( cross- multiply )

60(80 + 2x) = 6960 ← divide both sides by 60

80 + 2x = 116 ( subtract 80 from both sides )

2x = 36 ( divide both sides by 2 )

x = 18