The perimeter of the triangle is 84 meter. the longest side of the triangle is 7 meters less than twice the length of the shortest side, x. the middle side is 7 meters longer than the shortest side. what is the length of each side of the triangle?

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

we have

so

----> equation A

----> equation B

----> equation C

solve the system by substitution

substitute equation B and equation C in equation a

solve for x

Find the value of y

Find the value of z

therefore

The dimensions of triangle are

Longest side: 35 meters

Shortest side: 21 meters

Middle side: 28 meters

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