Question

Construct a rectangle $ABCD$, when its sides are $6\text{cm}$ and $7.2\text{cm}$.

Then, relation between diagonals $AC$ and $BD$ is:

• A. $AC=BD$
• B. $AC<BD$
• C. $AC>BD$
• D. Cannot say

Answer 1

The correct option is A $AC=BD$

Steps:

1) Draw a straight line $AB$ of length $7.2\text{cm}$

2) Draw perpendicular lines at $A$ and $B$ using protractor.

3) Using compass cut arc at the perpendicular from $A$ and $B$ of lengths $6\text{cm}$

4) Join these cuts with a line $CD$ as shown in figure.

5) Now measure the lengths of $AC$ and $BD$.

We get that the length of $AC$ is approx. $9.37\text{cm}$ which is same as length of $BD$

Hence, $AC=BD$.