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Chapter 3: Q17. (page 139)

Find the perimeter of the triangle, if all the sides of the triangle are equal in length.

Short Answer

Expert verified

The perimeter of the triangle is39 unit.

Step by step solution

01

. Apply the concept of equilateral triangle and perimeter of the triangle

In this type, in equilateral triangle its properties is all the sides of the triangle are equal & the perimeter is3×side.

02

Step  2. Finding the length of the sides of the triangle

Since,

Let the length of the side be x.

The sides of the triangles are 2x+5,4x−3.

Now, from the property of the triangle, take the variable and constant in separate side and then do mathematical operations.

2x+5=4x−32x−4x=−5−3−2x=−8x=82x=4

03

Step  3 .Finding the perimeter 

Now, the length of the side is2x+5=2(4)+5=8+5=13

So, the perimeter is ,

P=3×sideP=3×13P=39 unit

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Most popular questions from this chapter

What are equivalent inequalities?

Solve the inequality. Graph and check your solution.

x+2>-3

Describe the steps you would use to solve the following equation.

9+2s=15

Geometry Find the value of x for the given triangle, rectangle or square.

Perimeter = 32 units

How solving 2x>-14 is different from solving -2x>14 ? Explain.
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