SOLUTION: Please help me solve this problem: One side of triangle is one-third the longest side. The third side is 7 feet less than the longest side. The perimeter is 77. Find all three

Question 912169: Please help me solve this problem:
One side of triangle is one-third the longest side. The third side is 7 feet less than the longest side. The perimeter is 77. Find all three sides.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let's sides be , , and where is the longest side

One side of triangle,, is one-third the longest side =>

The third side,, is less than the longest side =>
The perimeter .
solution:
.... since we have
......substitute and

now find
and
=> =>
=> =>

check:

RELATED QUESTIONS
Hello. Could you please help me solve this problem? One side of a triangle is half... (answered by stanbon)

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-third the longest side. The third side is 7 feet less than... (answered by ankor@dixie-net.com,greenestamps)

One side of triangle is one-fourth the longest side.The third side is 11 feet less than... (answered by amarjeeth123)