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on a scale drawing of a new school playground, a triangular area has two sides with lengths of 8 centimeters, 15 centimeters, and 17 centimeters. If the triangular area located on the playground has a perimeter of 120 meters, what is the length of its longest side

Sagot :

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The length of the longest side is 51 meters.

The perimeter of a triangular area:

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:

[tex]\mathbf{=\dfrac{17 \ cm}{1 \ cm} \times 3 \ m }[/tex]

= 51 meters

Learn more about the perimeter of a triangle here:

https://brainly.com/question/323164

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