Answered

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.

A8in, 15in, 17 in
B9in, 12in, 15in
C6in, 7in, 8in
D2in, 3in, 4in

Verified Answer :

The answer is B


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

Answer:

The correct option is B.

Step-by-step explanation:

The corresponding sides of similar triangles are proportional.

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

\(\frac{LM}{PQ}=\frac{MN}{QR}=\frac{LN}{PR}\)

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

\(\frac{8}{3} eq \frac{15}{4}\)

Option A is incorrect.

\(\frac{9}{3}=\frac{12}{4}=\frac{15}{5}=3\)

Therefore the correct option is B.

\(\frac{6}{3} eq \frac{7}{4}\)

Option C is incorrect.

\(\frac{2}{3} eq \frac{3}{4}\)

Option D is incorrect.

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