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 6
5
4
3

Answer 1

a - 3.

Answer 2

a=3

Answer 3

just realise that 40/(3a+1)=4

Answer 4

Notice thar LM is a quarter of AB, and MN is a quarter of BC. For the triangles to be similar, LN must be a quarter of AC, or 3a + 1 = 40/4.