Is the perimeter of a right triangle equal to its area? (Part 2)

[mathdad]

A right triangle is given. One leg is u units and the other leg is v units. The hypotenuse is given to be w units.

If u = [2(m + n)]/n, v = 4m/(m - n), and
w = [2(m^2 + n^2)/(m - n)n, show that

(1/2)(uv) = u + v + w

I must multiply u times v times (1/2), right? I then must add u + v + w. The right side must equal the left, right?

This exercise will show that the perimeter is numerically equal to the area.

 

[Evgeny.Makarov]

I must multiply u times v times (1/2), right? I then must add u + v + w. The right side must equal the left, right?

Yes.

 

[mathdad]

Yes.

Cool.