Question

Is it possible for a rectangle to have it's adjacent sides of lengths 2cm & 4cm and diagonal bisecting each other at right angles? Give reasons.​

Answer 1

*Question:-

Is it possible for a rectangle to have it's adjacent sides of lengths 2cm & 4cm and diagonal bisecting each other at right angles? Give reasons.

*Answer:-

No it is not possible for a rectangle to have it's adjacent sides of lengths 2cm & 4cm and diagonal bisecting each other at right angles.

Here is only one reason for my answer is that there is no breadth given in the rectangle.

Answer 2

Answer:

Step-by-step explain

If the adjacent sides of a rectangle are 2cm and 4cm respectively.

Then, the length of the diagonal will be = $\sqrt (2^{2}+4^{2} )$cm = $\sqrt20$cm = $2\sqrt5$cm

Now A/q

The diagonals bisect each other.

Therefor the length at which the diagonals bisect each other will be = $\sqrt5$cm

Now, if we take two sides of a right triangle as $\sqrt5$cm and $\sqrt5$cm respectively

the length of hypotenuse will be = $\sqrt10$cm.

which is not equal to either of adjacent sides of the given rectangle i.e 2cm and 4cm.

Hence, It is not possible for the diagonals of rectangle of adjacent sides 2cm and 4cm resp. to bisect each other at right angles.