Question

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

Answer 1

Step-by-step explanation:

In a right angled triangle, 90 degree angle is the greatest angle.

Other two angles are acute angles and are therefore smaller than the 90 degree angle.

Always,the side opposite to the greatest angle is longer.

Therefore, hypotenuse is the longest side in a right angled triangle.

Answer 2

In the given triangle ABC,

Angle B = 90°

Hence Angle A + Angle C = 180°- 90°  ...(Sum of all angles of the triangle are 180°)

Therefore Angle B is the greater angle than Angle A and Angle C. [Angle A>Angle C ]  

We know that, Side opposite to greater angle is always longer.

Therefore, Side opposite to angle B is AC

.

[AC > BC and AC > AB]

That is AC is the longest side..

[AC is the hypotenuse]