Question

Which of the following cannot be the measures of three sides of a triangler () 3 cm, 4 cm, 8 em ()8 cm, 3 cm, 12 cm (it) 2 cm, 3 cm, 4 cm () 1 cm, 2 cm, 3 cm 4 cn, 4 cm, 8 cm (i) 3 cm, 4 cm 5 cm ​

Answer 1

Answer:

1) 3 cm, 4 cm, 8 cm- triangle is not form.

2) 8 cm, 3 cm, 12 cm - triangle is not form.

3) 2 cm, 3 cm, 4 cm - triangle is form.

4) 1 cm, 2 cm, 3 cm  - triangle is not form.

5)4 cm, 4 cm, 8 cm - triangle is not form.

6) 3 cm, 4 cm 5 cm ​- triangle is form.

Step-by-step explanation:

Properties of triangle

• A triangle has three sides, three angles, and three vertices.
• The sum of the length of any two sides of a triangle is greater than the length of the third side.

Use the second property to solve these examples.

1) 3 cm, 4 cm, 8 cm

(Greater side) = 8 cm

(sum of remaining side) = 3 + 4 = 7

7 < 8 cm

So, triangle is not form

2) 8 cm, 3 cm, 12 cm

(Greater side) = 12 cm

(sum of remaining side) = 8 + 3 = 11

11 < 12 cm

So, triangle is not form

3) 2 cm, 3 cm, 4 cm

(Greater side) = 4 cm

(sum of remaining side) = 2 + 3 = 5

5 > 4 cm

So, triangle is form.

4) 1 cm, 2 cm, 3 cm

(Greater side) = 3 cm

(sum of remaining side) = 1 + 2 = 3

3 = 3 cm

So, triangle is not form  

5)4 cm, 4 cm, 8 cm

(Greater side) = 8 cm

(sum of remaining side) = 4 + 4 = 8

8 = 8 cm

So, triangle is not form

6) 3 cm, 4 cm 5 cm

(Greater side) = 5 cm

(sum of remaining side) = 3 + 4 = 7

7> 5 cm

So, triangle is form​