Question

Q4. In a right-angled triangle ABC, if angle C = 90°, then which of the following is true?

(a) AB2=BC2+AC2

(b) AC2=AB2+BC2

(c) AB = BC + AC

(d) AC = AB + BC

Answer 1

Answer:

(a) AB2=BC2+AC2 is true

I hope this is helpful for you

Answer 2

Given :  In a right-angled triangle ABC

angle C = 90°,

To Find : which of the following is true

AB² = BC² + AC²  

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

=> AB² = BC² + AC²

Hence correct option is :

AB² = AC² + BC²

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