The perimeter of a triangle is 48 centimeters. If two sides are equally long and the third side is 6 centimeters longer than the others, find the lengths of the three sides.

Question

asked Nov 26, 2019 64.6k views

1 Answer

Samik Chattopadhyay · Answer 1 · 2019-12-01T23:03:57+0000

Answer: The three sides are 14, 14, 20

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x = length of the two equal sides

x+6 = length of the third longer side

add up the three lengths x, x, x+6. Set it equal to the perimeter 48. Solve for x

x+x+x+6 = 48

3x+6 = 48

3x+6-6 = 48-6 ... subtract 6 from both sides

3x = 42

3x/3 = 42/3 ... divide both sides by 3

x = 14

If x = 14, then x+6 = 14+6 = 20

The three sides are 14, 14, 20

We can check this by adding up the three sides 14+14+20 = 28+20 = 48 and we get the right perimeter.