Question

How many scalene triangle of perimeter 20 cm exist such that lengths of all 3 sides are integers

Answer 1

Answer:

3 sides is the answer try these

Answer 2

Answer:

4

Step-by-step explanation:

Sum of 2 sides of triangle will be greater than 3rd side.

In scalene triangle all sides are unequal.

Hence the length of largest side has to be 9.

Possible combinations with longest side as 9 - 3 combinations

9, 9, 2 - It is isosceles triangle

9, 8, 3

9, 7 , 4

9, 6, 5  

Possible combinations with longest side as 8 - 1 combinations

8 , 8 , 4- It is isosceles triangle

8, 7 , 5

8, 6, 6- It is isosceles triangle

Remaining Possible combinations with longest side as 7 - 0 combinations

7, 7, 6 - It is isosceles triangle

7, 6 , 7- It is isosceles triangle

Remaining Possible combinations with longest side as 6 - 0 combinations

6, 6, 8 - It is isosceles triangle

So possible combinations are :-

9, 8, 3

9, 7 , 4

9, 6, 5  

8, 7 , 5