Question

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

Answer 1

heya...

in a right angle triangle the largest angle is 90 degree and other two angles are obviously smaller than 90 degree as the sum of angles of a triangle is 180 degree
we know that sides opposite to larger angle is longer hence it is proved that in a right angle triangle hypotenuse is the longest side

hope this helps u

Answer 2

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.