Question 37

In a right angled $Δ A B C$ , if $∠ B = 90^{\circ}$ , 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) $A B = B C + A C$
d) $A C = A B + B C$

Open in App

Solution

According to Pythagoras theorem,
$(H y p o t e n u s e)^{2} = (P e r p e n d i c u l a r)^{2} + (B a s e)^{2}$
$\Rightarrow A C^{2} = A B^{2} + B C^{2}$

Suggest Corrections

Similar questions

For a triangle ABC, which of the following is/are true?

In any triangle ABC, (AB - AC) $>$ BC.

For any triangle ABC, which of the following is/are FALSE ?

In a right angled $△$ ABC, right angled at B, which of the following is true?

\sqrt{200}

\sqrt{208}

\sqrt{8}

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

Δ A B C

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program