Question

In $△ABC$ is $\angle B$ is right angle. If $AB=a=16$ and $BC=c=12$ then $AC=b=$ __________

• A. $8$
• B. $18$
• C. $20$
• D. $28$

Answer 1

The correct option is C $20$

Given:

$\angle$ $B$ is $90$${}^{\circ }$

$a=16$

$c=12$

$\therefore$ using Pythagoras theorem

$a^2+c^2=b^2$

${16}^2+{12}^2=b^2$

$256+144=b^2$

$400=b^2$

$\therefore$ $b=20.$