Question

25. Which
Which of the following sets
measurements will form a triangle ?
(1) 12 cm, 10 cm, 25 cm
(2)
9 cm, 7 cm, 16 cm
(3)
23 cm, 17 cm, 8 cm
(4)
5 cm, 3 cm, 9 cm​

Answer 1

Answer:

3rrd

Explanation:

Answer 2

Answer

(3) 23 cm, 17 cm, 8 cm ✔

Explanation:

we are given with 3 sides, and we need to find if they can form a triangle or not. For a triangle,

• Sum of measure of two sides of a triangle should be greater than the third side.

Or we can restate it as:

• Difference between measure of two sides of a triangle is less than the measure of third side.

Let's check them all one by one

(i) 12 cm, 10 cm, 25 cm

⇛ 12cm + 10cm

⇛ 22cm

And,

⇛ 22cm ≯25cm

As sum of two sides is not greater than the third side, These sides cannot form a triangle

(ii) 9 cm, 7 cm, 16 cm

⇛ 9cm + 7cm

⇛ 16cm

And,

⇛ 16cm ≯ 16cm

As sum of two sides is not greater than the third side, These sides cannot form a triangle

(iii )23 cm, 17 cm, 8 cm

⇛ 23cm + 17cm

⇛ 40cm

And,

⇛ 40cm > 8cm

⇛ 17cm + 8cm

⇛ 25cm

And,

⇛ 25cm > 23cm

⇛ 23cm + 8cm

⇛ 31cm

And,

⇛ 31cm > 17cm

Sum of two sides is greater than the third side. So, these sides can form a triangle.

(iv) 5 cm, 3 cm, 9 ccm

⇛ 5cm + 3cm

⇛ 8cm

And,

⇛ 8cm ≯ 9cm

As sum of two sides is not greater than the third side, These sides cannot form a triangle