Question

the lengths of sides of a triangle given below. dertermine which of them are right angle . In case of a right triangle,write the length of the hypotenuse. i) 3cm,8cm,6cm ii) 13cm,12cm,5cm iii) 1.4cm,4.8cm,5cm.

Answer 1

Step-by-step explanation:

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.