in a right angle triangle abc,ac2+bc2=ab2.the hypotenuse of triangle is
Answers
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.
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Step-by-step explanation:
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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.
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