The perimeter of a triangle is 24 inches. The longest side of 4 inches is longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?

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The perimeter of a triangle is 24 inches. The longest side of 4 inches is longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?

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Answer 1 · 2016-02-24T05:03:09

Well this problem is simply impossible.

If the longest side is 4 inches, there is no way that the perimeter of a triangle can be 24 inches.

You are saying that 4 + (something less than 4) + (something less than 4) = 24, which is impossible.

Answer 2 · 2016-02-24T08:52:18

The sides are $6$ inches, $8$ inches and $10$ inches

Explanation:

I'd suggest that the question should read 'The perimeter of a triangle is 24 inches. The longest side is 4 inches longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?'

In this case the question can be answered. If $x$ is the length of the middle side, then the shortest side is $3/4x$ and the longest side is $3/4x +4$

$x +3/4x + 3/4x+4 = 24$

$10/4x =20$
$x = 8$

Then the shortest side is $6$ and the longest side is $10$

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The perimeter of a triangle is 24 inches. The longest side of 4 inches is longer than the shortest side, and the shortest side is three-fourths the length of the middle side. How do you find the length of each side of the triangle?

2 Answers

Explanation:

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