Question

HELP DUE IN 15 MINS! ΔLMN ~ ΔPQR. Which of the following sets of side lengths could be those of ΔLMN?

A. 2 cm, 3 cm, 4 cm


B. 6 cm, 7 cm, 8 cm


C. 8 cm, 15 cm, 17 cm


D. 9 cm, 12 cm, 15 cm

Answer 1

Answer: D.

Explanation:

If the triangle PQR has sides from biggest to smallest 3,4,5 we need another triangle with a similar ratio to compare it to.

9/3= 3 12/3=4 15/3=5

So the answer is D because I can divide all the sides of the new triangle by the same number to get the sides of triangle PQR

Answer 2

• D. 9 cm, 12 cm, 15 cm

Explanation:

Given

• ΔLMN ~ ΔPQR

ΔPQR has sides ratio 3 : 4 : 5

ΔLMN should also have same ratio and the ratio of corresponding sides should be same.

Let's verify the options:

A. 2 : 3: 4

• 2/3 = 3/4 = 4/5 - this is incorrect

B. 6 : 7 : 8

• 6/3 = 7/4 = 8/5 - this is incorrect

C. 8 : 15 : 17

• 8/3 = 15/4 = 17/5 - this is incorrect

D. 9 : 12 : 15

• 9/3 = 12/4 = 15/5 = 3 - this is correct