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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

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 class=

Respuesta :

Answer: D.

Step-by-step 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

mhanifa

Answer:

  • D. 9 cm, 12 cm, 15 cm

Step-by-step 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

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