The sides of the triangle are 5: 7: 11, and the sum of the largest and smallest sides is 80 cm.

| July 22, 2021 | education

The sides of the triangle are 5: 7: 11, and the sum of the largest and smallest sides is 80 cm. Calculate the perimeter of the triangle.

To solve this problem, you must first find out how many centimeters are equal to one part of the side of the triangle.
It is known that the sum of the smallest and largest sides is 80 cm.
The smallest side is 5 parts and the largest 11 parts. Therefore, we compose the following expression
5 + 11 = 16
I.e
16 parts is 80 cm
1 part is x cm
Therefore, x = 1 × 80 ÷ 16 = 5
This means that one part is equal to 5 cm
The first side is equal to 5 pieces
5 × 5 = 25 cm
The second is equal to 7 parts
7 × 5 = 35cm
The third is equal to 11 parts
11 × 5 = 55 cm
The perimeter is equal to the sum of all the lengths of the sides of the triangle, we get
P = 25 + 35 + 55 = 115 cm
Answer: the perimeter is 115 cm.



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