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Mandarinka [93]
2 years ago
14

A triangle has a perimeter of 31. The longest side is equal to 12. The difference of the other two is 3. What is length of the s

hortest side ?
Mathematics
1 answer:
xenn [34]2 years ago
3 0

Answer:

8

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle.

let the other 2 sides be x and x - 3 , then

12 + x + x - 3 = 31

2x + 9 = 31 ( subtract 9 from both sides )

2x = 22 ( divide both sides by 2 )

x = 11 and x - 3 = 11 - 3 = 8

The 3 sides are 12, 11, 8

with shortest side 8

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