The DAV Class 5 Maths Solutions and **DAV Class 5 Maths Chapter 16 Worksheet 3** Solutions of Triangles offer comprehensive answers to textbook questions.

## DAV Class 5 Maths Ch 16 Worksheet 3 Solutions

Question 1.

Find whether it is possible to draw a triangle with line segments of lengths given below:

(a) 3 cm, 4 cm, 7 cm

Solution:

3 cm, 4 cm, 7 cm

Sum of two side = 3 cm + 4 cm = 7 cm

Third side = 7 cm

So, 7 cm = 7 cm

The sum of two sides should be greater than the third side.

Not possible.

(b) 6 cm, 8 cm, 7 cm

Solution:

6 cm, 8 cm, 7 cm

Sum of 2 sides = 6 cm + 8 cm = 14 cm

Third side = 7 cm

So 14 > 7 possible

Sum of 2 sides = 8 cm + 7 cm = 15 cm

Third side = 6 cm

15 cm > 6 cm possible

or

Sum of 2 side = 6 cm + 7 cm = 13 cm

Third side = 8 cm

13 cm > 8 cm possible

So triangle is possible.

(c) 12 cm, 12 cm, 12 cm

Solution:

12 cm, 12 cm, 12 cm

Sum of two side = 12 cm + 12 cm = 24 cm

Third side = 12 cm

24 cm > 12 cm possible.

All the sides are equal so the result is the same in either case.

So to draw a triangle is possible.

(d) 4 cm, 4 cm, 9 cm

Solution:

4 cm, 4 cm, 9 cm

Sum of two side = 4 cm + 4 cm = 8 cm

Third side = 9 cm

8 cm < 9 cm

So, not possible.

Question 2.

Measure the sides of the triangle given below and verify that the sum of the length of any two sides of a triangle is greater than the length of its third side.

Solution:

In ∆ABC

AB = 4.3 cm

AC = 3.2 cm

BC = 3.1 cm

Let us add the sides in pairs

All the conditions are verified.