Question

The value of AD in the given below figure is

• A. 17
• B. 13
• C. 18
• D. 19

Answer 1

The correct option is B

13

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