Home
Class 9
MATHS
Show that in a right angled triangle, t...

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

Text Solution

Verified by Experts


Let us consider a right-angled triangle ABC, right-angled at B.
In `∆ABC`,
`∠A + ∠B + ∠C = 180^@`(Angle sum property of a triangle)
...
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Show that in a right triangle the hypotenuse is the longest side.GIVEN : A right triangle ABC in which /_ABC=90^(@). TO PROVE : Hypotenuse AC is the longest side,i.e.AC>AB( ii) AC>BC

(Pythagoras's Theorem) Prove by vector method that in a right angled triangle,the square of the hypotenuse is equal to the sum of the squares of the other two sides.

(Pythagorass Theorem) Prove by vector method that in a right angled triangle,the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Prove that, in a right-angled triangle, the square of hypotenuse is equal to the sum of the square of remaining two sides.

The maximum area of a right angled triangle with hypotenuse h is

Prove that is a right angle triangle, the square of the hypotenuse is equal the sum of the squares of other two sides.

Fill in the blanks . (a) Each angle of an equilateral triangle measures ………….. (b) Medians of an equilateral triangle are …… (c) In a right triangle, the hypotenuse is the ……. Side.

Show that the sides 5cm,12cm and 13cm make a right angled triangle.Find the length of the altitude on the longest side