Question

Use the diagram below of similar triangles to find the value of y.

Answer 1

y = 10.5

Explanation:

Δ MOP and Δ MNQ are similar then the ratios of corresponding sides are in proportion, that is

`(OP)/(NQ)` =
`(MO)/(MN)` ( substitute values )

`(y)/(7)` =
`(8+4)/(8)` =
`(12)/(8)` ( cross- multiply )

8y = 84 ( divide both sides by 8 )

y = 10.5