Question

Threee sides of triangle are 4x square 2 + x-1, 2x square 2 -3x+5 and -x square 2 +4x +1.Find the perimeter of the triangle?


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Answer 1

Correct Question :-

Three sides of triangle are (4x²+x-1), (2x²-3x+5) and (-x²+4x+1). Find the perimeter of the triangle?

Answer:

The perimeter of triangle is (5x²+2x+5).

Step-by-step Explanation

To Find :-

• The perimeter of triangle.

★ Solution :-

Given that,

• Three sides of triangle are (4x²+x-1), (2x²-3x+5) and (-x²+4x+1).

As we know that,

Perimeter of triangle = Sum of all sides.

According the question,

(4x²+x-1) + (2x²-3x+5) + (-x²+4x+1) = Perimeter of triangle.

On solving,

➝ (4x²+x-1) + (2x²-3x+5) + (-x²+4x+1)

➝ 4x² + x - 1 + 2x² - 3x + 5 - x² + 4x + 1

➝ 4x² + 2x² - x² + x - 3x + 4x + 1 - 1 + 5

➝ 5x² + x - 3x + 4x + 1 - 1 + 5

➝ 5x² + 2x + 1 - 1 + 5

➝ 5x² + 2x + 5

∴ The perimeter of triangle is (5x²+2x+5).

Formula used :-

Perimeter of triangle = Sum of all sides of triangle.