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

Answer:

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

Step-by-step explanation:

Since:

$\frac{6}{2.5} = \frac{60}{25} \\ = \frac{12}{5}$

and

$\frac{9}{3.75} = \frac{900}{375} \\ = \frac{180}{75} \\ = \frac{36}{15} \\ = \frac{12}{5}$

also,

$\frac{12}{5} = \frac{12}{5}$

i.e., The sides are proportional.

Therefore, the two triangles are similar.