Question

in a right angle triangle prove that hypotenuse is the longest side

Answer 1

In a right angled triangle, the angle opposite To the hypotenuse is 90°, while other two angles are Always less than 90°. As you know that the side opposite to the largest angle is always the largest in a triangle.

Answer 2

Answer:

Step-by-step explanation:

Gaurav2013c Maths AryaBhatta

Let ABC be a right angled triangle right angled at B

To Prove :- AC is longest side.

Proof:-

<B = 90°

And, <A + <B + <C = 180

=> 90 + <A + <C = 180

=> <A+ <C = 90

We know that a angle can't be zero.

So we can say that,

<A and <C is less 90°

=> <A and <C is less than <B

And,

We know that side opposite to the largest angle of a triangle is longest.

=> AC is longest side.

Hence Proved....