SOLUTION: One side of triangle is one-third the longest side. The third side is 7 feet less than the longest side. The perimeter is 70. Find all three sides.
Algebra.Com
Question 1094582: One side of triangle is one-third the longest side. The third side is 7 feet less than the longest side. The perimeter is 70. Find all three sides.
Found 2 solutions by ankor@dixie-net.com, greenestamps:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let a = the longest side, b & c are other sides
:
Write an equation for each statement
:
One side of triangle is one-third the longest side.
b = a
The third side is 7 feet less than the longest side.
c = a - 7
The perimeter is 70.
a + b + c = 70
replace b with a; replace c with (a-7)
a + a = 70 + 7
2a = 77
Convert to an improper fraction
a = 77
a =
a =
Cancel the 7
a = 11 * 3
a = 33 ft is the longest side
:
I'll let you find b and c, see that they add up 70
Answer by greenestamps(13209) (Show Source): You can put this solution on YOUR website!
The algebra you need to do is nearly always easier if you can set up the problem using only one variable instead of 3.
Since the given information says the shortest side is one-third the longest side, to avoid fractions I would let x be the length of the shortest side, making the length of the longest side 3x. Then from the given information we can determine that the length of the third side is 3x-7.
So the three side lengths are x, 3x, and 3x-7; and the perimeter is 70:
The shortest side is 11; that makes the longest side 3*11 = 33 and the longest side 33-7 = 26.
RELATED QUESTIONS
One side of triangle is half the longest side. The third side is 7 feet less than the... (answered by FaroukHarb,ewatrrr)
One side of triangle is one fourth the longest side. The third side is 9 feet less than... (answered by ewatrrr)
One side of triangle is half the longest side. The third side is 12 feet less than the... (answered by ReadingBoosters)
One side of triangle is half the longest side. The third side is 10 feet less than the... (answered by ReadingBoosters)
One side of triangle is half the longest side. The third side is 9 feet less than the... (answered by josgarithmetic,MathTherapy)
One side of triangle is half the longest side. The third side is
12 feet less than the... (answered by Alan3354)
One side of triangle is one-fourth the longest side.The third side is 11 feet less than... (answered by amarjeeth123)
Please help me solve this problem:
One side of triangle is one-third the longest... (answered by MathLover1)
One side of triangle is one-third the longest side. The third side is 10 feet less than... (answered by macston)