Show that in a right angled triangle the hypotenuse is the longest side.
Asked by Topperlearning User | 11th Aug, 2017, 09:18: AM
Given :A right angledtriangle ABC, B = 90o
To Prove:Hypotenuse AC in the longest side.
(i) AC > AB(ii)AC > BC
Proof: Now in ABC
ABC = 90o
But CAB + BCA +CBA = 180o
Thus BCA < 90o and CAB < 90o
(Side opposite to greater angle is larger)
Thus AC is the longest side
Answered by | 11th Aug, 2017, 11:18: AM
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