Question

State whether the given statement is true or false:

Area of a rhombus is half the product of the length of its diagonals.

• A. True
• B. False

Answer 1

The correct option is A True

Area of rhombus $=$ area of $\Delta ABC+$ area of $\Delta ADC$

$=\frac{1}{2}\times BM\times AC+\frac{1}{2}\times DM\times AC$

$=\frac{1}{2}AC(BM+MN)$

$=\frac{1}{2}(AC\times BD)$

$=\frac{1}{2}(AC\times BD)$
Therefore, the given statement is true.