Question

If two vertices of the diagonal of a square are (3, 4) and (7, 8), find the length of the side of the square.

• A. 4√2
• B. 4
• C. 8
• D. 8√2
• E. 7√2

Answer 1

The correct option is B

4

Two vertices of the diagonal of a square are (3, 4) and (7, 8).

Length of the diagonal is 4$\sqrt{2}$.

If the length of the side of the square is a then the length of the diagonal is a$\sqrt{2}$.

So the length of the side of the square whose diagonal is 4$\sqrt{2}$ is 4.