I added a screenshot of the complete question.
Answer:
The sides of the triangle are: 5 in, 12 in and 13 in
Explanation:
Assume that the first side of the triangle is x
We are given that:
1- The first side is 1 in longer than the second side.
This means that:
second side = first side - 1
second side = x - 1
2- The second side is 7 in longer than the third side.
This means that:
third side = second side - 7
third side = x - 1 - 7
third side = x - 8
The sides of the triangle are now:
x , x-1 and x-8 inches
We know that the perimeter is the summation of the three sides and we are given that the perimeter of the triangle is 30 in.
Therefore:
30 = x + x-1 + x-8
30 = x + x + x - 1 - 8
30 = 3x - 9
30 + 9 = 3x
3x = 39
x = 13
This means that:
First side = x = 13 in
Second side = x - 1 = 13 - 1 = 12 in
Third side = x - 8 = 13 - 8 = 5 in
Hope this helps :)
