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son4ous [18]
4 years ago
10

The perimeter of the triangle is 84 meter. The longest side of the triangle is 7 meters less than twice the length of the shorte

st side, x. The middle side is 7 meters longer than the shortest side. What is the length of each side of the triangle?
Mathematics
1 answer:
Galina-37 [17]4 years ago
4 0

Answer:

The dimensions of triangle are

Longest side: 35 meters

Shortest side: 21 meters

Middle side: 28 meters

Step-by-step explanation:

Let

y ----> the longest side of triangle in meters

x ----> the shortest side of triangle in meters

z ----> the middle side of triangle in meters

we know that

The perimeter of triangle is equal to

P=x+y+z

we have

P=84\ m

so

84=x+y+z ----> equation A

y=2x-7 ----> equation B

z=x+7 ----> equation C

solve the system by substitution

substitute equation B and equation C in equation a

84=x+(2x-7)+x+7

solve for x

84=4x

x=21\ m

<em>Find the value of y</em>

y=2(21)-7=35\ m

<em>Find the value of z</em>

z=21+7=28/ m

therefore

The dimensions of triangle are

Longest side: 35 meters

Shortest side: 21 meters

Middle side: 28 meters

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