the three sides of a triangle are consecutive integers and their perimeter is 72 cm. Find the measure of each side of a triangle.
plz answer it fast and correctly because tomorrow is my test
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the three sides of a triangle are consecutive integers and their perimeter is 72 cm. Find the measure of each side of a triangle.
plz answer it fast and correctly because tomorrow is my test
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Verified answer
✬ Sides = 23 , 24 , 25 cm ✬
Step-by-step explanation:
Given:
To Find:
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
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