Question

The perimeter of a triangle is 30 units. The lengths of the sides form an arithmetic sequence. If each length is a whole number, determine all possible sets of the lengths of the sides of the triangles

Answer 1

Answer:

S3=(3/2)(2a+2d)

30=3(a+d)

a+d=10; where a≠0

therefore, the possibilities of the sides are,

1, 10, 19

2, 10, 18

3, 10, 17

4, 10, 16

5, 10, 15

6, 10, 14

7, 10, 13

8, 10, 12

9, 10, 11

10, 10, 10

hope you are okay with my answer

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