Question

EXERCISE 12
C с
F
1 Lengths of sides of triangles are given below. Determine which of them are right
triangles. In case of a right triangle, write the length of its hypotenuse:

(i)1.4 cm, 4.8 cm, 5 cm​

Answer 1

Answer:

We use the Pythagoras theorem to check whether the triangles are right triangles.

We have h

2

=b

2

+a

2

[Pythagoras theorem]

Where h is the hypotenuse, b is the base and a is the altitude.

Given sides are 1.4cm, 4.8 cm and 5 cm

b

2

+a

2

=1.42+4.8

2

=1.96+23.04=25

h

2

=5

2

=25

here b

2

+a

2

=h

2

Hence the given triangle is a right triangle.

Length of the hypotenuse is 5 cm.