Question

prove that in a right angle triangle hypotenous is a longest side​

Answer 1

Answer:

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.

prove:

Let there is a right angle triangle ABC where

AB is the perpendicular, AC is hypotenuse and BC is the base of the triangle.

From Pythagoras Theorem,

hypotenuse2 = Perpendicular2 + base2

=> AC2 = BC2 + AB2

=> AC = √(BC2 + AB2)

So hypotenuse is the longest side in a right angle traingle.

Answer 2

Answer:

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.

Step-by-step explanation: