SOLUTION: The second side of a triangular deck is 5 feet longer than the shorter side and a third side that is 5 feet shorter than twice the length of the shorter side. If the perimeter of t

Question 1035423: The second side of a triangular deck is 5 feet longer than the shorter side and a third side that is 5 feet shorter than twice the length of the shorter side. If the perimeter of the deck is 48 feet, what are the lenghts of the three sides
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
S=shorter (first) side; S+5ft=second side; 2S-5ft=third side
.
Perimeter=First side + second side + third side
48 feet=S+(S+5 ft)+(2S-5 ft)
48 feet=4S
12 feet=S
.
ANSWER 1: The first side is 12 feet long.
.
Second side = S + 5 ft = 12 feet + 5 feet = 17 feet
.
ANSWER 2: The second side is 17 feet long.
.
Third side=2S-5 feet=2(12 feet)-5 feet=24 feet-5 feet=19 feet
.
ANSWER 3: The third side is 19 feet long.
.
CHECK:
.
Perimeter = first side + second side + third side
.
48 feet = 12 feet + 17 feet + 19 feet
.
48 feet=48 feet
.
.

RELATED QUESTIONS
The second side of a triangular deck is 5 feet longer than the shortest side and a third... (answered by macston)

The second side of a triangular deck is 6 feet longer than the shortest side and a third... (answered by Cromlix)

This problem is actually for ALG 1 but I can't remember how to complete it? Please help?! (answered by lwsshak3)

Please, help! Thanks A triangular-shaped deck has one side that is 6 feet longer than (answered by josgarithmetic)

The second side of a triangular deck is 4 feet longer than the shortest side and a third... (answered by ankor@dixie-net.com)

The second side of a triangle deck is 5 feet longer than the shortest side and a third... (answered by josmiceli)

The second side of a triangular deck is 3 feet longer than the shortest side, and... (answered by ikleyn)

The second side of a deck is 5 feet longer than the shortest side and a third side that... (answered by josgarithmetic)

the longest side of the triangular section is 8 feet shorter than twice the shorter side. (answered by JulietG)