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Chapter 10: Q.17 (page 540)

Find the unknown side length of the triangle given the perimeter P. Then classify the triangle by its side lengths.

P=84.3cm

Short Answer

Expert verified

The length of all the three sides is 28.1cm each and the triangle is an equilateral triangle.

Step by step solution

01

Step 1. Given Information.

Step 1. Given Information.

Perimeter of the triangle is84.3cm.

Length of all the three sides is same.

02

Step 2. Calculation.

Perimeter of the triangle is84.3cm.

Let the length of one side of triangle be x.

Since all the three sides of the triangle are same -

x+x+x=84.3

Now add all x together.

3x=84.3

Now, divide both sides by 3.

3x3=84.33

This gives us,

x=28.1

Since, all the three sides are same, the length of each side is28.1cm.

03

Step 3. Conclusion.

The length of all the three side is 28.1cm each.

Since, all the three sides of the triangle are same it is an equilateral triangle.

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