What is the area of the largest triangle that can be fitted into a rec

1.	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
Answer» 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.

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

Answer»

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.