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The longest side of a triangle is 3 greater than the longest side of a similar triangle. If the ratio of similitude is 5:4, find the lengths of the longest side of each triangle. 

          The longest side of a triangle is 3 greater than the longest side of a similar triangle. If the ratio of similitude is 5:4, find the lengths of the longest side of each triangle.

Added by Jay K.

Geometry A Common Core Curriculum
Geometry A Common Core Curriculum
Ron Larson, Laurie Boswell 1st Edition
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The longest side of a triangle is 3 greater than the longest side of a similar triangle. If the ratio of similitude is 5:4, find the lengths of the longest side of each triangle.
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Transcript

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00:01 Okay, you are told this triangle has perimeter of 30, and you also told the longest side is 5 inches longer down the shortest side.
00:14 So let's call this the shortest side, and here then the longest side is x plus 5, 5 more than x.
00:25 We're then told that the medium side is 4 inches longer than the shortest side.
00:32 Then is x plus 4.
00:35 So i now know all three sides in terms of x.
00:40 Then add up those three sides.
00:43 So x plus x plus 4 plus x plus 5...
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