Question

Triangle ABC is a triangle, right angled at $\angle ABC$. If AB = 9cm ; AC = 41cm, find the length of BC.

• A. $40cm$
• B. $45cm$
• C. $50cm$
• D. $35cm$

Answer 1

The correct option is A $40cm$

According to Pythagoras' theorem:

$A{B}^2+B{C}^2=A{C}^2$
Let BC = $x$ cm
$9^2+x^2={41}^2$ = $81+x^2=1681$
=$x^2=1681-81=1600$
$\therefore$ BC = $x$= $\sqrt{1}600$ = $40$
BC= $40cm$