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Chapter 7: Q30. (page 244)

The perimeter of a triangle is132cm and the lengths of its sides are in the ratio8:11:14 . Find the length of each side.

Short Answer

Expert verified

The lengths of sides of the triangle are32cm,44cm and56cm .

Step by step solution

01

Step 1. Given information.

Perimeter of the triangle is,132cm and,

Ratio of the length of its sides are8:11:14,

02

Step 2. Concept used.

The perimeter of the triangle is the sum of lengths of its sides.

Since, ratio of the sides is always in the simplified form,

it might not represent the actual measure.

So,

03

Step 3. Consider the sides as,8x,11x and14x .

The perimeter of the triangle can be expressed using the above relation as,

8x+11x+14x=13233x=132x=4

So, each of the sides are given by,

8x=8脳48x=3211x=11脳411x=44

And,

14x=14脳414x=56

Therefore, the lengths of sides of the triangle are32cm,44cm and56cm.

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