Question

question of triangle and its properties

Answer 1

Step-by-step explanation:

Thus, for any triangle having sides as a,b and c units, we have :- a+b > c , b+c > a and a+c > b.

And also, |a-b| < c, |b-c| < a and |a-c| < b.

Now in question number :

(1) The sides are 3,5,3.

3+5 > 3 which is 8 > 3

3+3 > 5 which is 6 > 5

Also,

|3–5| = 2 < 3.

|3–3| = 0 < 5.

Hence, this triangle is possible!

(2) The sides are 4,3,8.

Here, 4+3 = 7 < 8 which violates the triangle inequality.

Thus, such a triangle is not possible.

Answer 2

Answer: (iv) 3,5,3

Step-by-step explanation: As we can see that in all the other options the sum of 2 sides is NOT GREATER than the 3rd side.

Therefore option (iv) is the correct answer as:

3+5=8 > 3

5+3=8 > 3

and 3+3=6 > 5