Question

For a right-angled triangle ABC right angled at B, which of the following is true?

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

Answer 1

The correct option is B

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

If a triangle ABC is right angled at B, then AC is the hypotenuse.

According to Pythagoras theorem, $h^2=a^2+b^2$ where $h$ is the hypotenuse, while $a$ and $b$ are the perpendicular sides of the triangle.

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