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.

Respuesta :

Answer:

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

Step-by-step explanation:

Since:

[tex]\frac{6}{2.5}  = \frac{60}{25}  \\                    = \frac{12}{5}[/tex]

and

[tex]\frac{9}{3.75}  = \frac{900}{375}  \\                    = \frac{180}{75} \\                    = \frac{36}{15} \\                    = \frac{12}{5}[/tex]

also,

[tex]\frac{12}{5}  = \frac{12}{5}[/tex]

i.e., The sides are proportional.

Therefore, the two triangles are similar.