What is the area of the largest triangle that can be fitted into a rectangle of length l units and width w units?

Question

Philoid · Accepted Answer

Let ABCD be the rectangle of length l and width w.

Now,we construct a triangle of maximum area inside it in all possible ways.

We know that,

Area of triangle = × base × height

So ,for maximum area ,base and height of maximum, length is needed.

Here, maximum base length = l

And maximum height = w

Area (maximum) of triangle = × l × w sq.units.