The DAV Maths Book Class 7 Solutions Pdf and **DAV Class 7 Maths Chapter 8 Worksheet 3** Solutions of Triangle and Its Properties offer comprehensive answers to textbook questions.

## DAV Class 7 Maths Ch 8 WS 3 Solutions

Question 1.

Which of the following can be the sides of a triangle? Measurement of sides are given in cm.

(a) 6, 4, 8

(b) 8,10, 18

(c) 3, 4,10

(d) 35, 38, 40

Answer:

(a) 4 + 6 > 8, Hence triangle is possible to construct.

(b) 8 + 10 = 18, Hence triangle is not possible to construct. It is a straight line.

(c) 3 + 4 < 10, Hence triangle is not possible to construct.

(d) 35 + 38 > 40, Hence triangle is possible to construct.

Question 2.

O is a point in the interior of A ABC. Use the symbols >, < or = to make the following statements true.

(a) OA + OB __ AB

(b)OB + OC __ BC

(c)OA + OC __ AC

Now, show that AB + BC + AC < 2 (OA + OB + OC)

Answer:

(a) OA + OB > AB

(b) OB + OC > BC

(c) OA + OC > AC

Adding (a), (b) and (c) we get

2OA + 2OB + 2OC > AB + BC + AC

⇒ 2(OA + OB + OC) > AB + BC + AC

⇒ AB + BC + AC < 2(OA + OB + OC)