As per the basic geometry, the area of a triangle is defined as half the product of its base and height. Similarly the formula for the area of a rectangle is the product of its base (length) and height (width).
This gives an indication that a relation is possible between the area of any triangle inscribed in a rectangle. After a closer study it has been established that the area of a triangle as half a rectangle. The triangle may be the any triangle inscribed inside the rectangle
A rectangle is placed inside an isoceles right triangle in such a way that the two vertices of the rectangle lie on the hypotenuse, and the other two vertices lie on the legs.
The area of the triangle is 2 square units, and the area of the rectangle is one quarter of that.
The rectangle, like the square, is one of the most commonly known quadrilaterals. It is defined as having all four interior angles 90° (right angles).
Properties of a rectangle
- Opposite sides are parallel and congruent Adjust the rectangle above and satisfy yourself that this is so.
- The diagonals bisect each other
- The diagonals are congruent
In our next blog we shall learn about "volume of a rectangle"
I hope the above explanation was useful.Keep reading and leave your comments.
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