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lesantik [10]
2 years ago
12

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

Mathematics
2 answers:
BartSMP [9]2 years ago
7 0

Answer:

  • D. 9 cm, 12 cm, 15 cm

Step-by-step explanation:

<u>Given</u>

  • ΔLMN ~ ΔPQR

ΔPQR has sides ratio 3 : 4 : 5

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

<u>Let's verify the options:</u>

<u>A. 2 : 3: 4</u>

  • 2/3 = 3/4 = 4/5 - this is incorrect

<u>B. 6 : 7 : 8</u>

  • 6/3 = 7/4 = 8/5  - this is incorrect

<u>C. 8 : 15 : 17</u>

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

<u>D. 9 : 12 : 15</u>

  • 9/3 = 12/4 = 15/5 = 3  - this is correct
yulyashka [42]2 years ago
3 0

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

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