Question

Find the value of JN in the figure. ​

Answer 1

Answer:

JN = 32

Step-by-step explanation:

Δ JMN and Δ JKL are similar ( AA postulate )

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

$\frac{JM}{JK}$ = $\frac{JN}{JL}$ ( substitute values )

$\frac{24}{33}$ = $\frac{JN}{JN+12}$

$\frac{8}{11}$ = $\frac{JN}{JN+12}$ ( 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