Question

show that in a right angled triangle, the hypotenuse is the longest side​

Answer 1

Let’s name triangleABC

In triangle ABC

Angle B=90

0

Angle B and angleA,

AC>BC ………..(1) (side opposite to greater angle is longer)

AngleB and angle c,

AC>AB ……..(2) (side opposite to greater angle is longer)

From equation 1st and 2nd ,

AC>BC,AB

Hence, hypotenuse is the longest side.

Answer 2

Let’s name triangleABC

In triangle ABC

Angle B=90

0

Angle B and angleA,

AC>BC ………..(1) (side opposite to greater angle is longer)

AngleB and angle c,

AC>AB ……..(2) (side opposite to greater angle is longer)

From equation 1st and 2nd ,

AC>BC,AB

Hence, hypotenuse is the longest side.

Answer 3

Let’s name triangleABC

In triangle ABC

Angle B=90

0

Angle B and angleA,

AC>BC ………..(1) (side opposite to greater angle is longer)

AngleB and angle c,

AC>AB ……..(2) (side opposite to greater angle is longer)

From equation 1st and 2nd ,

AC>BC,AB

Hence, hypotenuse is the longest side.