Question

The sides of two triangles are 6, 9, 12 inches and 2.5, 3.75, and 5 inches respectively. Are the triangles similar ? Explain your reasoning.

Answer 1

Since, the sides are proportional. Therefore, the two triangles are similar.

Explanation:

Since:

`(6)/(2.5)  = (60)/(25)  \\                    = (12)/(5)`

and

`(9)/(3.75)  = (900)/(375)  \\                    = (180)/(75) \\                    = (36)/(15) \\                    = (12)/(5)`

also,

`(12)/(5)  = (12)/(5)`

i.e., The sides are proportional.

Therefore, the two triangles are similar.