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Show that in a right angle …

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Show that in a right angle trianle hypotenuse is the longest side

Posted by Arnav Singh 5 years, 1 month ago

CBSE > Class 09 > Mathematics

3 answers

Arpit Bareth 5 years, 1 month ago

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

Gaurav Seth 5 years, 1 month ago

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Given :A right angledtriangle ABC, B = 90^o

To Prove:Hypotenuse AC in the longest side.

(i) AC > AB(ii)AC > BC

Proof: Now in ABC

ABC = 90^o

But CAB + BCA +CBA = 180^o

Thus BCA < 90^o and CAB < 90^o

(Side opposite to greater angle is larger)

Thus AC is the longest sid

Yogita Ingle 5 years, 1 month ago

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 sid

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