1. Is it possible to form a triangle by three line segments of the following lengths?
8 cm, 6 cm, 15 cm
6 cm, 8 cm, 14 cm
5 cm, 6 cm, 10 cm
5.6 cm, 4.4 cm, 9 cm
6 cm, 6 cm, 6 cm
10 cm, 7 cm, 4 cm
plzzzzz show me the process tooo..plzzzzzzzz
Answers
Answer:
(i) No
(ii) No
(iii) Yes
(iv) Yes
(v) Yes
(vi) Yes
Step-by-step explanation:
Property to be used:
The sum of any two sides of a triangle is always greater than the third side.
(i) 8 cm, 6 cm, 15 cm
8 + 6 = 14
14 is not greater than 15.
∴ It is not possible to form a triangle.
(ii) 6 cm, 8 cm, 14 cm
8 + 6 = 14
14 is not greater than 14
∴ It is not possible to form a triangle.
(iii) 5 cm, 6 cm, 10 cm
5 + 6 = 11
11 is greater than 10.
6 + 10 = 16
16 is greater than 5.
5 + 10 = 15
15 is greater than 6.
∴ It is possible to form a triangle.
(iv) 5.6 cm, 4.4 cm, 9 cm
5.6 + 4.4 = 10
10 is greater than 9.
4.4 + 9 = 13.4
13.4 is greater than 5.6.
5.6 + 9 = 14.6
14.6 is greater than 4.4.
∴ It is possible to form a triangle.
(v) 6 cm, 6 cm, 6 cm
6 + 6 = 12
12 is greater than 6.
∴ It is possible to form a triangle.
(vi) 10 cm, 7 cm, 4 cm
7 + 4 = 11
11 is greater than 10
10 + 7 = 17
17 is greater than 4.
10 + 4 = 14
14 is greater than 7.
∴ It is possible to form a triangle.
Hope this helps!! Pls mark as brainliest!
here are the answer for q1 ex 18a Properties of Triangles.
