Question

The three sides of a triangle are consecutive integers and the perimeter is 72 cm.find the measure
each side of the triangle.​

Answer 1

Answer:

72÷3

=34

Step-by-step explanation:

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Answer 2

Answer:

✬ Sides = 23 , 24 , 25 cm ✬

Step-by-step explanation:

Given:

Measure of three sides of a triangle are consecutive integers.

Perimeter of triangle is 72 cm.

To Find:

What is measure of each side of triangle ?

Solution: Let the first integer be x , second be x + 1 , third be x + 2. Therefore,

➟ First side = x cm

➟ Second side = (x + 1) cm

➟ Third sides = (x + 2) cm

As we know that

★ Perimeter of ∆ = Sum of all sides ★

A/q

Perimeter is 72 cm

x + x + 1 + x + 2 = 72

3x + 3 = 72

3x = 72 – 3

3x = 69

x = 69/3

x = 23

Hence, Sides of triangle are

➭ First side = x = 23 cm

➭ Second side = x + 1 = 23 + 1 = 24 cm

➭ Third side = x + 2 = 23 + 2 = 25 cm

__________________

★ Verification ★

=> 23 + 24 + 25 = 72

=> 47 + 25 = 72

=> 72 = 72

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