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36) Answer: 3cm

Finding the value of x:
5 - 2x = -4x + 9
-2x + 4x = -5 + 9
2x = 4
x = 2

Finding one side of the triangle:
5 - 2(2)
= 1cm

Perimeter of the triangle:
1 x 3
= 3cm

The perimeter of the triangle is 3 unit.

What is a Triangle?

A triangle is a polygon with three sides, angles and vertices.

The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides, as obtuse , acute and right angled triangle and scalene, isosceles and equilateral triangle.

A polygon is called regular if it has all sides equal.

The figure shows a triangle.

The two sides of the triangle are 5-2x and -4x+9

When all the sides of the triangle is equal, it is called an equilateral triangle.

5-2x = -4x +9

Taking the like terms on one side,

-2x +4x = 9 -5

2x = 4

x = 2

The measure of each side is,

5 - 2*2 = 1

-4x +9 = -4 * 2 +9 = 1

The side length is 1 unit.

The perimeter of a triangle is the sum of all sides, as all the sides are equal, the perimeter is equal to 3 * side.

Perimeter = 3 * 1

Perimeter = 3 unit.

To know more about Triangle

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