Given two triangles PQR and MNS with .  Are the two triangles RPQ and MNS similar ? If yes, by which rule? Explain your Answer..

Asked by Topperlearning User | 4th Jun, 2014, 01:23: PM

Expert Answer:

If we match the information given we see that the sides of the two triangles are proportional, but to have the required triangles to be similar we must have the corresponding sides of RPQ and MNS Proportional. If we check the given information, We have .

But if we must have   triangles   RPQ and MNS similar, then we must have which is not the  given ratio.

So we can conclude that even though the sides of the given triangles are in proportion, the corresponding sides of   triangles , RPQ and MNS are not proportional Hence the triangles RPQ  and MNS are not similar.

Answered by  | 4th Jun, 2014, 03:23: PM