Question

The value of AD in the given figure is

• A. 17 m
• B. 13 m
• C. 18 m
• D. 19 m

Answer 1

The correct option is B 13 m

In $△ABC$ using Pythagoras theorem we have,
$A{C}^2=A{B}^2+A{C}^2$
$\Rightarrow A{C}^2=3^2+4^2$
$\Rightarrow A{C}^2=25$
$\Rightarrow AC=5m$
In $△ACD$ using Pythagoras theorem, we get,
$A{D}^2=A{C}^2+C{D}^2$
$\Rightarrow A{D}^2=5^2+{12}^2$
$\Rightarrow A{D}^2=25+144A{D}^2=169\Rightarrow AD=13m$.