Question

∆ABC - ∆LMN and AB=10, LM=5, AC=9 then find LN
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Answer 1

Answer:

$LN = \frac{9}{2}$

Step-by-step explanation:

Question:

∆ABC ~ ∆LMN and AB = 10 units, LM = 5 units, AC = 9 units, then find LN.

Answer:

Given that,

∆ABC ~ ∆LMN

∴ By Basic Proportionality Theorem,

$\frac{AB}{LM} = \frac{BC}{MN} = \frac{AC}{LN}$

But here, we are not provided with the measurements of BC and MN.

So, we need,

$\frac{AB}{LM} = \frac{AC}{LN}$

$\frac{10}{5} = \frac{9}{LN}$

$2 = \frac{9}{LN}$

$LN = \frac{9}{2}\:units$