Question

show that in a right angle triangle the hypotenuse is the longest side​

Answer 1

Answer:

the hypotenuse is tfe longest side in a right angle triangle because it is the sum of the square of other legs of the righy angle triangle

Answer 2

In a right angled ∆ABC, let us assume ∠B=90°  

Since ∠A + ∠B + ∠C = 180°....[Sum of all angles of the triangle are 180°.]            ∠A + ∠C = 90°  

Hence ∠B is greatest angle in ∆ABC    

We know that the side opposite to greatest angle in a triangle is the longest side

Therefore side opposite to ∠B is AC  

Hence AC > BC and AC > AB    

That is AC, the hypotenuse, is the longest side