Sides of Similar Figures Quick Check
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Question
The sides of a triangular path measure 7 m, 9 m, and 11 m. Find the perimeter of a similar triangle in which the shortest side has a length of 21 meters.(1 point)
Responses
27 m
27 m
21 m
21 m
81 m
81 m
33 m
33 m
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To find the perimeter of a similar triangle, we need to find the ratio of the corresponding sides and then multiply that ratio by the corresponding side length of the original triangle.
In this case, the shortest side of the original triangle is 7 m, and the corresponding side in the similar triangle is 21 m.
So, the ratio of the corresponding sides is 21/7 = 3.
Now, we can find the lengths of the other two sides in the similar triangle by multiplying the ratio by the corresponding side lengths in the original triangle.
The second longest side in the similar triangle would be 3 * 9 = 27 m.
The longest side in the similar triangle would be 3 * 11 = 33 m.
Finally, we can find the perimeter of the similar triangle by adding up the lengths of all three sides: 21 + 27 + 33 = 81 m.
Therefore, the correct answer is 81 m.