Question

8/20
End
How many triangles with a perimeter of 8 units
have side lengths as integers?
a. 1
b. 2
C. 3
d. 4​

Answer 1

$\huge \mathcal \pink{AnSwEr}$

Option a. 1

Explanation:

Possible triplets having sum 8

1, 1, 6

1, 2, 5

1, 3, 4

2, 2, 4

2, 3, 3

Now in any triangle sum of any two sides is greater than third side

1 + 1 = 2 < 6 hence 1, 1, 6 cannot be triangle 1 + 2 = 3 < 5 hence 1, 2, 5 cannot be triangle

1 + 3 = 4 = 4 Hence 1, 3, 4 cannot be triangle 2 + 2 = 4 = 4 hence 2, 2, 4 cannot be triangle

2 + 3 = 5>3

3+3 = 6 > 2

2, 3, 3 is the only possible triangle

Hence, only 1 triangle with a perimeter of 8 units have side lengths as integers.

Answer 2

Answer:

Step-by-step explanation: