Question

Will mark the brainliest...

Which triangles could not be similar to triangle ABC ?

Answer 1

Two triangles are said to be similar if the ratio of their corresponding sides are equal.

Case-i

Now take the case of triangle ABC and the triangle with sides 77cm, 85cm, and 36cm.

Apply the property of similar triangle we get

$\frac{15}{77} \neq \frac{8}{36}$

Hence the triangle with sides 77cm, 85cm, and 36cm is not similar to the triangle ABC.

Case-ii

Now take the case of triangle ABC and the triangle with sides 35cm, 37cm, and 12cm.

Apply the property of similar triangle we get

$\frac{15}{35} \neq \frac{8}{12}$

Hence the triangle with sides 35cm, 37cm, and 12cm is not similar to the triangle ABC.

Case-iii

Now take the case of triangle ABC and the triangle with sides 60cm, 68cm, and 32cm.

Apply the property of similar triangle we get

$\frac{15}{60} = \frac{8}{32}= \frac{1}{4}$

Hence the triangle with sides 60cm, 68cm, and 32cm is similar to the triangle ABC.

Case-iv

Now take the case of triangle ABC and the triangle with sides 22.5cm, 25.5cm, and 12cm.

Apply the property of similar triangle we get

$\frac{15}{22.5} = \frac{8}{12}= \frac{2}{3}$

Hence the triangle with sides 22.5cm, 25.5cm, and 12cm is similar to the triangle ABC.