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2 years ago

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

Mathematics

2 answers:

Svetllana [295]2 years ago

6 0

The answer is B

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

Neko [114]2 years ago

6 0

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.

$\frac{8}{3}\neq \frac{15}{4}$

Option A is incorrect.

$\frac{9}{3}=\frac{12}{4}=\frac{15}{5}=3$

Therefore the correct option is B.

$\frac{6}{3}\neq \frac{7}{4}$

Option C is incorrect.

$\frac{2}{3}\neq \frac{3}{4}$

Option D is incorrect.

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