Question

In the adjoining figure , $\angle BAC=90°$

BC = 130 , AC = 50 , find the length of AB

• A. 12 m
• B. 102 m
• C. 120 m
• D. 150 m

Answer 1

The correct option is C

120 m

Let the length of AB be $x$

Hence $A{B}^2+A{C}^2=B{C}^2$

${50}^2+x^2={130}^2$

$2500+x^2=16900$

$x^2=16900-2500$

$x^2=14400$

$x=\sqrt{14400}$

$x=120$

Length of AB = 120 m