Question

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

Answer 1

Step-by-step explanation:

Given :- ∆ABC is a right angled triangle at angle B

R.T.P [ Required To proof ] :- AC is longest side .

Proof :- In ∆ABC , angle B is greater than angle A

" The side opposite to the longer angle is longer "

AC is the longest side

Hypothenuse is the longest side .

Answer 2

Step-by-step explanation:

given

triangle ABC is a right angle triangle.

right angle at B ie: angle B = 90

To proof

AC is the longest side of triangle ABC

Proof

In triangle ABC

A +B + C = 180

A + 90 + C = 180

A + C = 180-90

A + C = 90

angle cannot be 0 Or negative

hence

A< 90

A< B

BC < AC (sides opposite to the greater angle is longer)

Also

C < 90

C< B

AB < AC (sides opposite to the greater angle is longer)

AC is the longest side in triangle ABC

Hence proved

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