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15 votes
15 votes
A triangle has a perimeter of 75 inches. Find the length of three sides

if one side is 15 inches larger than the smallest side, and the third
side is twice the smallest

User Dotancohen
by
3.3k points

1 Answer

17 votes
17 votes

Answer:

The side lengths are:

15, 30, and 30

Explanation:

Let x determine the length of the smallest side length then

the other one is said to be 15 in larger so it's x + 15

finally the third size is said to be twice as the smallest one so it's 2x

The perimeter is the sum of all three sides added up

x + 2x + x + 15 = 75 add like terms

4x + 15 = 75 subtract 15 from both sides

4x = 60 divide both sides by 4

x = 15

User Colin Barrett
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2.5k points