A triangle has a perimeter of 200. If two of its sides are equal and the third side is 20 more than the equal sides, what is the length of the third side?

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NTPC Graduate Tier 1

2016 • 02 Apr, 2016 • Shift 2

A triangle has a perimeter of 200. If two of its sides are equal and the third side is 20 more than the equal sides, what is the length of the third side?

Correct Answer

Defining Variables: Let the length of the two identical equal sides of the isosceles triangle be 'x'.Expressing the Third Side: According to the conditional pre......

💡 Analysis & Explanation

Defining Variables ▼

Let the length of the two identical equal sides of the isosceles triangle be 'x'.

Expressing the Third Side ▼

According to the conditional premise, the third side is '20 more than' the equal sides, so its length is represented algebraically as 'x + 20'.

Perimeter Equation ▼

The geometric perimeter is the sum of all outer boundaries. So, x + x + (x + 20) = 200.

Solving for x ▼

Simplifying the equation gives 3x + 20 = 200. Subtracting 20 leaves 3x = 180, which means x = 60. The equal sides are 60 each.

Final Target Calculation ▼

The question specifically asks for the length of the third side, which is x + 20. Thus, 60 + 20 = 80.

Conclusion ▼

The third side measures 80 units in length.

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A triangle has a perimeter of 200. If two of its sides are equal and the third side is 20 more than the equal sides, what is the length of the third side?