SOLUTION: a triangle has a perimeter of 31 inches. The smallest side is 4 less than the medium side. The biggest side is triple the medium side. What are the lengths of each side. What a
Algebra.Com
Question 723040: a triangle has a perimeter of 31 inches. The smallest side is 4 less than the medium side. The biggest side is triple the medium side. What are the lengths of each side. What are the lengths of each side? How do I put this into an algebra equation to solve it?
Found 2 solutions by mananth, 119078:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the medium length be x
smallest side = x-4
largest side = 3x
sum of all sides = 31
x+x-4+3x=31
5x=35
x=7
so you know the lengths now
Answer by 119078(26) (Show Source): You can put this solution on YOUR website!
Draw the triangle and write down what you know
Longest side: 3m
medium: m
shortest: m-4
Perimeter: 31in
write it all out in a formula solving for m (medium)
31=3m+m+m-4
That's how to put it into an algebraic equation. Stop reading from here if you want to do it yourself. After doing it once by yourself go ahead and compare and check work.
combine like terms
31=5m-4
add 4 to each side
31=5m-4
+4 +4
35=5m
divide 5 on each side
35=5m
5 5
7=m
now plug in to each formula
Long: 3(5)
Middle: (5)
Short: (5)-4
Answers:
Longest:15in
Medium:5in
Smallest:1in
RELATED QUESTIONS
The shortest side of a triangle is 8 inches less than the medium side, and the longest... (answered by rfer)
A triangle has a perimeter of 56 inches. The medium side is 4 inches more than the... (answered by tommyt3rd)
A triangle has a perimeter of 56 inches. The medium side is 4 inches more than the... (answered by tommyt3rd)
The perimeter of a triangle is 81 cm. The smallest side is 7cm.shorter than the medium... (answered by Greenfinch)
A triangle has a perimeter of 23
inches. The medium side is 5
more than the short... (answered by josgarithmetic,greenestamps,ikleyn)
The perimeter of a triangle is 86 inches. The largest side is four inches less than twice (answered by emargo19)
A triangle has a perimeter of 53 inches. The medium side is 5 inches more than the... (answered by rfer)
A triangle has a perimeter of 47 inches. The medium side is 7 inches more than the... (answered by josgarithmetic)
A triangle has a perimeter of
24 inches. The medium side is
3 more than the short... (answered by ikleyn)