Question

Which of the following statement is false for a right angle triangle ABC, right angled at B - BC= square(AC² - AB²), AC = square ( AB²+BC²), AC² = AB²+BC², AB² = AC²+BC²​

Answer 1

Answer:

In △ABC,

⇒ (AC)

2

=(BC)

2

+(AB)

2

[ Given ] --- ( 1 )

Pythagoras theorem,

⇒ (Hypotenuse)

2

=(oneside)

2

+(otherside)

2

---- ( 2 )

Comparing ( 1 ) and ( 2 ) we get, AC is a hypotenuse of a triangle.

⇒ Hypotenuse is the longest side of a right-angled triangle, opposite the right angle.

⇒ Opposite angle of AC is ∠B.

∴ ∠B is a right angle of △ABC.