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The perimeter of a triangle is 30

User Cresht
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2 Answers

1 vote
The long side will be- 13
The leg is - 12
And the base is - 5??
User Homde
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6.2k points
2 votes
I added a screenshot of the complete question.

Answer:
The sides of the triangle are: 5 in, 12 in and 13 in

Step-by-step explanation:
Assume that the first side of the triangle is x

We are given that:
1- The first side is 1 in longer than the second side.
This means that:
second side = first side - 1
second side = x - 1

2- The second side is 7 in longer than the third side.
This means that:
third side = second side - 7
third side = x - 1 - 7
third side = x - 8

The sides of the triangle are now:
x , x-1 and x-8 inches

We know that the perimeter is the summation of the three sides and we are given that the perimeter of the triangle is 30 in.
Therefore:
30 = x + x-1 + x-8
30 = x + x + x - 1 - 8
30 = 3x - 9
30 + 9 = 3x
3x = 39
x = 13

This means that:
First side = x = 13 in
Second side = x - 1 = 13 - 1 = 12 in
Third side = x - 8 = 13 - 8 = 5 in

Hope this helps :)

The perimeter of a triangle is 30-example-1
User Alloy
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6.7k points
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