Question

The area of triangle ACD in the given figure is :

• A. $100m^2$
• B. $25m^2$
• C. $50m^2$
• D. $100m^2$

Answer 1

The correct option is C

$50m^2$

In $△ABC$,
Using Pythagoras theorem,
we get,
$A{C}^2=A{B}^2+B{C}^2=8^2+6^2=100.\Rightarrow AC=10m$

$\because \text{Area of triangle a triangle =}\frac{1}{2}\times BASE\times HEIGHT$

$\therefore \text{Area of triangle ACD =}\frac{1}{2}\times AC\times CD\text{as it is a right angled triangle}$

$=\frac{1}{2}\times 10\times 10=50m^2$.