The sides of a triangle measure 7, 4, and 9. If the longest side of a similar triangle measures 36, Determine and state the length of the shortest side of this triangle.

Question

Mathematics

Alan Simpson

2 May, 05:00

The sides of a triangle measure 7, 4, and 9. If the longest side of a similar triangle measures 36, Determine and state the length of the shortest side of this triangle.

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Answers (1)

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Emilie Knight · Answer 1

Step-by-step explanation:

Okay! Since these are similar figures we need to find the scale factor in order to answer this question.

We have a triangle with sides 7, 4, and 9. The longest side is 9. This corresponds with the longest side on the similar triangle, which is 36. So to find the scale factor we divide 36 by 9. The scale factor is 4.

Now to find the shortest side of the bigger triangle, we have to find the length of the shortest side on the smaller one which is 4. Since our scale factor is 4, we multiply 4 by 4 to get 16.

The length of the shortest side of the similar triangle is 16