Question

Find the value of JN in the figure. ​

Answer 1

JN = 32

Explanation:

Δ JMN and Δ JKL are similar ( AA postulate )

then the ratios of corresponding sides are in proportion, that is

`(JM)/(JK)` =
`(JN)/(JL)` ( substitute values )

`(24)/(33)` =
`(JN)/(JN+12)`

`(8)/(11)` =
`(JN)/(JN+12)` ( cross- multiply )

11 JN = 8(JN + 12)

11 JN = 8 JN + 96 ( subtract 8 JN from both sides )

3 JN = 96 ( divide both sides by 3 )

JN = 32