Ella is trying to determine the side lengths of a triangle. She knows that the longest side is three times longer than the shortest side. The medium side is ten more than twice the shortest side. If the perimeter is 142 cm, how long is each side?
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20102433 1 year ago
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mikeyfauth

10/22/2020

Mathematics

College

The perimeter of the triangle is 6a + 3 units. Write an expression in simplest form for the length of Side 3.

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astha8579

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The length of the third side is a-2.

Given that:

Perimeter of triangle: 6a + 3

Length of first side: 2(a+3)

Length of second side: 3a -1

Let the length of the third side of the triangle be x.

Then as perimeter of a triangle is sum of lengths of all 3 sides of the triangle, thus we have:

Thus we have length of the third side as a -2.