Triangles IJK and TUV are similar. The length of the sides of IJK are 40, 50, and 24. The length of the longest side of TUV is 275 what is the perimeter of TUV?

Question

Mathematics

Karsyn York

4 January, 06:14

Triangles IJK and TUV are similar. The length of the sides of IJK are 40, 50, and 24. The length of the longest side of TUV is 275 what is the perimeter of TUV?

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Answers (1)

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Camille Logan · Answer 1

To answer this question, you will need to determine how many times greater each side is using the lengths of the longest sides.

To find how many times greater 275 is than 50, divide them.

275/50 = 5.5

Triangle TUV has a perimeter that is 5.5 times longer than triangle IJK.

The perimeter of IJK is 24 + 40 + 50 or 114 units.

The perimeter of TUV would be 114 x 5.5

114 x 5.5 = 627 units

The perimeter of TUV is 627 units.