What is the area of the largest triangle

Question:

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

(a) lw /2

(b) lw /3

(c) lw/6

(d) lw/4

Solution:

The correct answer is option (a) lw /2

Explanation:

We know that, the area of a triangle is (1/2) x base x height

Let ABCD be a triangle with length “l” and width “w”.

Here, we have to construct a triangle of maximum area inside the rectangle in all possible ways.

Now, the maximum base length is “l”

Maximum height is “w”.

Therefore, the area of a largest triangle is (1/2) x l x w.

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