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A right triangle has sides of length n, n + 1, and n + 2. Monica uses the basic formula, area =1/2 base * height, to compute The area of the triangle and comes up with an area of n^2 + 3n +2 / 2. Sunil uses The same formula and comes up with an area of n^2 + n / 2. which area is correct? Explain.

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frika

Answer:

Monica is incorrect and Sunil is correct.

Step-by-step explanation:

In the right triangle the longest side is the hypotenuse.

If a right triangle has sides of length n, n + 1, and n + 2, then

  • 1st leg = n;
  • 2nd leg = n+1;
  • hypotenuse = n+2.

Use the formula

[tex]A=\dfrac{1}{2}\cdot \text{1st leg}\cdot \text{2nd leg}[/tex]

to find the area of the triangle.

So,

[tex]A=\dfrac{1}{2}\cdot n\cdot (n+1)=\dfrac{n^2+n}{2}\ un^2.[/tex]

Thus, Monica is incorrect and Sunil is correct.

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