Question

Triangles ABC and LMN are given such that

AB = 24, BC = 20, and AC = 40
LM = 6, MN = 5, and LN = (3a + 1)

To be similar, which should be the value of a?

Answer 1

6
5
4
3

Answer 2

If AB/LM = BC/MN = AC/LN ... then they are similar
AB/LM = 24/6 = 4
BC/MN = 20/5 = 4
AC / LN should also be 4
So , 40/(3a+1) = 4
40/4 = 3a+1
10 = 3a + 1
3a = 9
a = 3

Answer 3

4th option

Answer 4

Thanks! (again :P)