Question

34. State and prove the Pythagoras theorem. Using the theorem, check whether the lengths of sides 13 cm, 12cm and 5cm form right angled triangle​

Answer 1

Answer:

Given, sides of triangle

a=5 cm

b=12 cm

c=13 cm

c

2

=13

2

=169

a

2

+b

2

=5

2

+12

2

=25+144=169

Since, a

2

+b

2

=c

2

Hence, by the converse of Pythagoras theorem, the triangle is a right-angled triangle with Hypotenuse being the largest side = 13 cm.