CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Pythagoras Theorem

In a right an...

Question

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

thumbs-up

3

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?

Q. Assertion: Points A(6, 4), B(-4, -6) and C(4, 6) are such that AB =

\sqrt{200}

\sqrt{208}

\sqrt{8}

, Since AB+BC>AC, points A, B and C from a triangle.

Reason: If

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

Δ A B C

is a right triangle, right angled at A.

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Pythagoras Theorem

Standard VII Mathematics

Join BYJU'S Learning Program

CrossIcon