Question

Triangle LMN is similar to triangle PQR. Which of the following sets of side lengths could be those of triangle LMN.

PQR- 3cm, 4cm, and 5cm.

A) 8in, 15in, 17 in
B) 9in, 12in, 15in
C) 6in, 7in, 8in
D) 2in, 3in, 4in

Answer 1

The answer is B


9in, 12in, 15in
Because similar means that their components are factors of each other.

Answer 2

The correct option is B.

Explanation:

The corresponding sides of similar triangles are proportional.

It is given that triangle LMN is similar to triangle PQR. It means

`(LM)/(PQ)=(MN)/(QR)=(LN)/(PR)`

The length of sides of triangle PQR: 3 cm, 4 cm, 5 cm.

`(8)/(3)\\eq (15)/(4)`

Option A is incorrect.

`(9)/(3)=(12)/(4)=(15)/(5)=3`

Therefore the correct option is B.

`(6)/(3)\\eq (7)/(4)`

Option C is incorrect.

`(2)/(3)\\eq (3)/(4)`

Option D is incorrect.