The measure of the three sides of the triangle are 7 feet, 24 feet and 18 feet
What is the perimeter of the triangle?
"It is the sum of the all the three sides of the triangle."
For given question,
The perimeter of a triangle is 49 feet.
⇒ P =49 feet
Let 'x' be the length of the second side.
One side of the triangle is 17 feet shorter than the second side.
The first side of the triangle = x - 17
The third side is 6 feet shorter than the second side.
The third side of the triangle = x - 6
Using the formula of perimeter of triangle,
⇒ P = (x - 17) + x + (x - 6)
⇒ 49 = x -17 + x + x - 6
⇒ 49 = 3x - 23
⇒ 3x = 72
⇒ x = 24 feet
So, the first side would be,
x - 17
= 24 - 17
= 7 feet
And the third side of the triangle is,
x - 6
= 24 - 6
= 18 feet
Therefore, the measure of the three sides of the triangle are 7 feet, 24 feet and 18 feet
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