Show that in a right angled triangle, the hypotenuse is the longest side.
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Q. Show that in a right triangle the hypotenuse is the longest side.
Given :- A right triangle ABC in which ∠ABC = 90°
To Prove :- Hypotenuse AC us the longest side.
Proof :- In ΔABC
∠B = 90° and ∠A + ∠C = 90°
It is the clear that
∠B > ∠A and ∠B > ∠C
∠B is the greatest angle.
Opposite side AC is the longest side.
Hence proved!
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