Question

Are the triangles similar? if so, what postulate or theorem proves their similarity?

A. yes, by SSS Similarity Theorem
B. yes, by SAS Similarity Theorem
C. yes, by AA Similarity Theorem
D. no the triangles are not similar

Answer 1

The answer is A. Yes, by SSS Similarity Theorem

Answer 2

Answer: A. yes, by SSS Similarity Theorem

Explanation:

From the given picture, it can be seen that we have all the sides of bothe the triangles.

SSS Similarity Theorem says that if the ratio of lengths of the corresponding sides of two triangles are then the triangles must be similar.

From the given picture , the ratio of the sides is given by :-

`(10)/(35)=(2)/(7)\\\\(12)/(42)=(2)/(7)\\\\(11)/(36.5)=(2)/(7)`

Thus, the ratio of lengths of the corresponding sides of two triangles are equal.

Hence, the triangles must be similar by SSS similarity theorem.