l = the longest side
m = the medium side
s = the shortest side
The longest side is 14 in longer than the medium side means:
l = m + 14
The medium side is 6 in more than the shortest side means:
m = s + 6
Replace this value in equation:
l = m + 14
l = s + 6 + 14
l = s + 20
The perimeter:
P = s + m + l = 65
s + s + 6 + s + 20 = 65
3 s + 26 = 65
Subtract 26 to both sides
3 s = 39
Divide both sides by 3
s = 13 in
m = s + 6 = 13 + 6 = 19 in
l = s + 20 = 13 + 20 = 33 in
the longest side = 33 in
the medium side = 19 in
the shortest side = 13 in
The perimeter:
P = s + m + l = 13 + 19 + 33 = 65 in
The perimeter of a triangle is 65 in. The longest side is 14 in. longer than the medium side, and the medium side is 6 in. more than the shortest side. Find the length of each side of the triangle.
1 answer