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Chapter 1: Q68. (page 15)

What is the perimeter of the triangle if a=9and b=10

Short Answer

Expert verified

The perimeter of the given triangle is 118 mm.

Step by step solution

01

Step 1. Finding the perimeter of a triangle.

The perimeter of a triangle is defined as the sum of the length of all its three sides. If a triangle has sides of length a, b and c units then its perimeter is given by (a+b+c)units.

02

Step 2. Example of finding the perimeter of a triangle.

Let the lengths of the sides of a triangle be given by a,鈥夆赌�a2,鈥夆赌�a+2 units of length each.

Then the perimeter of the triangle is given by(a+鈥夆赌�a2+鈥�a+2)=a2+2a+2 units.

If a=2鈥�mm, then the perimeter is

=22+2(2)+2=4+4+2=10鈥�mm

03

Step 3. Description of step.

The perimeter of the given triangle can be expressed as 2a+0.5b2+0.5b2.

It is given that,a=9 and b=10.

Substituting values of a and b in the above equation, the perimeter can be obtained as

29+0.5102+0.5102=18+0.5100+0.5100=18+50+50=118mm

Hence, the perimeter of the given triangle is 118 mm.

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