The perimeter of a triangle is 93 ft. Side a of the triangle is twice as long as side b. Side c is 3ft longer than side a. Find the length of each side.
2006-11-17 15:53:02 · 9 answers · asked by just_breathe_x3 1 in Education & Reference ➔ Homework Help
Let the length of side "b" be x ft.
Therefore side a=2x and side c=2x+3
According to the problem,
x+2x+2x+3=93
=>5x+3=93
=>5x=93-3=90
=>x=90/5=18
Therefore.side a=2X18=36 and side c=36+3=39
Answer a=36ft. b=18 ft and c=39 ft
2006-11-17 23:24:33 · answer #1 · answered by alpha 7 · 0⤊ 0⤋
Let's say the side b is "x"
93 = 2x + x + 2x + 3
first 2x represents side a which is twice as long as side b (2x)
the second x represents side b (x)
side c is 3 feet (+3) longer than side a (2x)
93 = 2x + x + 2x + 3
93 - 3 = 2x + x + 2x
90 = 5x
x = 18
Now, a is 2x so 2 * 18 = 36
b is just x so 18
c is twice as long as a + 3 so 36 + 3 = 39
add them all up and you get 36 + 18 + 39 = 93 which matches the original statement.
A key to doing this kind of word problem is, take the original statement and read word at a time, and turn them into formulas.
2006-11-18 00:05:07 · answer #2 · answered by tkquestion 7 · 0⤊ 0⤋
Side a is twice as side b,
so a = 2b or b=a/2 .........(1)
Side c is 3ft longer than side a,
so c = a + 3 ..........(2)
Perimeter is 93 ft
a+b+c=93
or a + a/2 + a+3 = 93 (substituting values from (1) and (2) above)
2a + a/2 = 90
4a + a = 180
5a = 180
a=180/5
==> a=36 ft
a=2b,
==> b=a/2= 18 ft
c = a+3
==> c=39 ft
2006-11-18 00:04:32 · answer #3 · answered by yezdi 2 · 0⤊ 0⤋
Start by writing equations for the information you are given.
1) a + b + c = 93
2) a = 2b
3) a + 3 = c
Start solving for a and c in terms of b.
Since a = 2b, then equation #3 can be written as: 2b + 3 = c
Because a = 2b and c = 2b + 3 you can now substitute these equivalents into equation #1: (2b) + b + (2b + 3) = 93 and solve for b:
5b + 3 = 93
5b = 90
b = 18
Since a = 2b, a = 36
Since a + 3 = c, c = 36 + 3 = 39
Checking our work: 36 + 18 + 39 = 93!
Best wishes and good luck.
Always start by writing equations for the information you are given!
2006-11-18 00:07:28 · answer #4 · answered by Doctor J 7 · 0⤊ 0⤋
P = A + B + C = 93
A = 2B or B = (1/2)A
C = 3 + A
use substitution
Since A is in all equations, change B and C in terms of A
A + (1/2)A + (3+A) = 93
(1.5)A + 3 + A = 93
(2.5)A = 90
A = 36 ft.
B = (1/2)A = 18 ft.
C = 3 + A = 39 ft.
A+B+C=93 so the answer is correct.
2006-11-18 00:00:36 · answer #5 · answered by emilynghiem 5 · 1⤊ 0⤋
Or this way B=X
X+2X+(2X+3)=93 add all X's
5X+3=93 add -3 to each side
5X=90 divide each side by 5
X(really B)=18 so a=36 and c=39
I like my way, but the other guy's way is good too. That is what is fun about math; the many ways to get the answer.
2006-11-18 00:08:13 · answer #6 · answered by Anonymous · 0⤊ 0⤋
93=2X+X+(X+3)
When you find X, you plug it in for each side.
That's my best guess, someone else might be able to help you more than I can.
2006-11-18 00:02:02 · answer #7 · answered by ebigstanks 2 · 0⤊ 2⤋
a=2b........therefore b=a/2
c=a+3
a+b+c=93
a+a/2+a+3=93
5a/2+3=93
5a/2=95a=18a=36
b=a/2=18
c=a+3=39
2006-11-18 00:02:28 · answer #8 · answered by jharr412 2 · 0⤊ 0⤋
I would just put 0
2006-11-17 23:55:37 · answer #9 · answered by Anonymous · 0⤊ 2⤋