Question

Prove that in a right angle triangle hypotenuse is the l0ngest side

Answer 1

proof:-According to the property the longest side of a triangle lies opposite to the largest angle

Answer 2

In right angle triangle

A

B C

Consider ABC is a right angle triangle

B=90*(hypotenous)
A and B ......... Acute

We know that, the sum of the three side of a triangle is 180*

Therefore,
A+B+C=180

A+90*+C=180
A+B=180-90
A+B=90

A + B = 90
In other words sum of A and B is 90*
And in B is 90*

These means B is the biggest angle in right angle triangle

Therefore, B(Hypotenous) is the biggest side in a right angle triangle