Question

The perimeter of isosceles triangle is 21cm .If the length of congruent side is greater than the base by 3cm . Find the length of each side of the isosceles triangle?

Answer 1

Answer:

Step-by-step explanation:

let the base be x

and the two  equal sides be x + 3 each

x + x + 3 + x +3 = 21

3x + 6 =21

3x = 15

x = 5

length of each side of the triangle are

5cm

5+3 = 8cm

5+3=8cm

Answer 2

Answer:

The three sides of the triangle = 5cm,8cm,8cm

Step-by-step explanation:

Given,

The perimeter of an isosceles triangle = 21cm

The length ofa  congruent side is greater than the base by 3cm

To find,

The length of each side of the triangle

Recall the concept

In an isosceles triangle, two sides are equal

Solution:

Let 'x' be the base of the triangle,

Since the given triangle is isosceles, the other two sides are equal.

Since the length of the congruent side is greater than the base by 3cm, we have

each congruent side = x+3

Hence the three sides of the triangle are = x,x+3,x+3

Perimeter of the triangle = x+x+3+x+3

= 3x+6

Since the perimeter of the triangle = 21c, we have

3x+6 = 21

3x = 21-6 = 15

x = 5

base = 5cm

Congruent sides are 5+3 = 8cm

∴ The three sides of the triangle = 5cm,8cm,8cm

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