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3 years ago

Find the sides marked with letters, all lengths are given in centimeters.

Mathematics

1 answer:

pychu [463]3 years ago

5 0

Answer:

Length of side LM = 9 units

Length of side AC = 9 units

Length of side LN = 15 units

Step-by-step explanation:

Given:

In Δ LMN

Length of side LM = m

Length of side LN = a

Length of side MN = 15

In Δ ABC

Length of side AB = 6

Length of side BC = 9

Length of side AC = m

Find:

Length of all missing sides

Computation:

We know that both triangle are similar using AA rule

So,

Length of side LM / Length of side MN = Length of side AB / Length of side BC

Length of side LM / 15 = 6 / 9

Length of side LM = [6 x 15] / 9

Length of side LM = 90 / 9

Length of side LM = 9 units

Length of side LM = Length of side AC = m

Length of side AC = 9 units

Length of side MN / Length of side LN = Length of side BC / Length of side AC

15 / Length of side LN = 9 / 9

Length of side LN = 15 units

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