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The length of the longest side is 51 meters.
<h3>The perimeter of a triangular area:</h3>This is the sum total of all the distance around the three sides of the triangle and it is expressed by using the formula:
- P = a + b + c
where;
- P = perimeter of the triangle
- a,b,c = sides of the triangle
Let assume that:
- a = 8 centimeters
- b = 15 centimeters
- c = 17 centimeters
The perimeter of the triangle = (8 + 15 + 17) centimeters
The perimeter of the triangle = 40 centimeters
The ratio on the scale drawing to the actual triangular area is:
= 40 cm : 120 m
= 1 cm : 3 m
Since the longest side is 17 centimeters, the length of the longest side is:
= 51 meters
Learn more about the perimeter of a triangle here: