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The perimeter of a triangle is 51cm the lengths of its side are x cm, x+2 cm, and x+4 cm. What is the length, in cm, of the longest side of the triangle

User Mjgalindo
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1 Answer

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Given:

Sides of a triangle are x cm, x+2 cm, and x+4 cm.

Perimeter of triangle is 51 cm.

To find:

The the length of the longest side of the triangle.

Solution:

Sides of a triangle are x cm, x+2 cm, x+4 cm and perimeter of the triangle is 51 cm.

Perimeter of a triangle is the sum of all sides of the triangle.


x+(x+2)+(x+4)=51


3x+6=51


3x=51-6


3x=45

Divide both sides by 3.


x=15

Now, length of sides of the triangle are


x=15\text{ cm}


x+2=15+2=17\text{ cm}


x+4=15+4=19\text{ cm}

Therefore, the length of longest side of the triangle is 19 cm.

User Hraban
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