Question

find the length of the hypotenuse of a right angled triangle if remaining sides are 9 cm and 12 cm

Answer 1

By Pythagoras Theorem
(Hypotenuse)^2=(perpendicular)^2+(Base)^2

Answer 2

The relation between the base, perpendicular and base in a right angle triangle is given by the Pythagoras Theorem.

Pythagoras theorem states that:

h ^ 2 = p ^ 2 + b ^ 2

Here in this question,

Let p = 9 cm and b = 12 cm.

We have to find ' h ' i.e. the hypotenuse.

Applying Pythagoras theorem here,

h ^ 2 = p ^ 2 + b ^ 2

h ^ 2 = ( 9 ) ^ 2 + ( 12 ) ^ 2

h ^ 2 = 81 + 144

h ^ 2 = 225

h = √225

h = 15 cm

Hence,

Hypotenuse of the triangle = h = 15 cm