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.