SOLUTION: The shortest side of a triangle is one half the length of the middle side, plus 2 cm. The longest side of the triangle is one and one-half times the length of the middle side, les

Question 267116: The shortest side of a triangle is one half the length of the middle side, plus 2 cm. The longest side of the triangle is one and one-half times the length of the middle side, less 2 cm. The perimeter of the triangle is 60 cm. How long are each of the sides?

Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
Let us suppose that shortest side = x cm, middle side = y cm and longest side = z cm.
The shortest side of a triangle is one half the length of the middle side, plus 2 cm. This means _____ (1)
The longest side of the triangle is one and one-half times the length of the middle side, less 2 cm. This means, ______ (2)

Also given, perimeter = 60 cm i.e. _______ (3)

Substituting for x and z from (1) and (2) respectively into (3), we have

Hence, and

The sides of the triangle are: 12 cm, 20 cm and 28 cm.
RELATED QUESTIONS
The shortest side of a triangle is one half the length of the middle side, plus 2 cm.... (answered by edjones)

The shortest side of a triangle is one half the length of the middle side, plus 2 cm.... (answered by drk)

In a triangle, the middle length side is 3 more than the shortest side, and the longest... (answered by shree840)

In a triangle, the middle length side is 3 more than the shortest side, and the longest... (answered by ewatrrr)

In a triangle, the perimeter is 121 feet, the shortest side is 15 feet longer than... (answered by ankor@dixie-net.com)

the palmyra triangle has a perimeter of 3000 miles. the side of middle length is 3 times... (answered by stanbon)

A Palmyra Triangle has a perimeter of 2700 miles. The side of middle length is 2 times as (answered by Alan3354)

A triangle has a perimeter of 46 cm. The longest side is twice as long as the shortest... (answered by solver91311,jackiewalker123,Alan3354)

A triangle has sides 3cm, 5cm and 7 cm. The longest side of a similar triangle is 12 cm.... (answered by ikleyn)