Question

In a right-angled triangle$ABC$, if angle $B=90°$, then which of the following is true?

• A. $A{B}^2=B{C}^2+A{C}^2$
• B. $A{C}^2=A{B}^2+B{C}^2$
• C. $AB=BC+AC$
• D. $AC=AB+BC$

Answer 1

The correct option is B

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

Evaluate the given question

If, angle $B=90°$then $∆ABC$ is right angled triangle,

From Pythagoras theorem we have

$\Rightarrow A{C}^2=A{B}^2+B{C}^2$

Hence, option $\left(\mathrm{B}\right)$ is correct.