Question

In a right-angled triangle ABC, if angle C = 90°,
then which of the following is true?
(a) AB
BC2 + AC2
(b) AC2
AB2 + BC2
(c) AB = BC + AC
(d) AC = AB + BC​

Answer 1

Answer:

B) AC2

AB2+ BC2

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Answer 2

Given :  In a right-angled triangle ABC

angle C = 90°,

To Find : which of the following is true

AB² = BC² + AC²   ( correction in option )

AC² = AB² + BC²

AB = BC + AC

AC = AB + BC

Solution:

a right-angled triangle ABC

angle C = 90°,

=> AC  and BC  are the legs of the  triangle

and AB is the hypotenuse

Using Pythagorean Theorem :

Hypotenuse² = sum of square of perpendicular legs

=> AB² = AC² + BC²

Hence correct option is :

AB² = AC² + BC²

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