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Delicious77 [7]
2 years ago
10

Find the value of JN in the figure. ​

Mathematics
1 answer:
yarga [219]2 years ago
7 0

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

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