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
