SOLUTION: 5) The first side of a triangle is 5 inches less than the second side, and the third side is twice as long as the first sides. If the perimeter of the triangle is 33 iches, find th

Question 75645: 5) The first side of a triangle is 5 inches less than the second side, and the third side is twice as long as the first sides. If the perimeter of the triangle is 33 iches, find the lengths of the sides of the triangle.
6) The shortest side of a triangle is 8 feet less than the medium side, and the longest side is 4 feetlonger than 3 times the shortest side. If the perimeter is 27 feet, find the length of the shortest side.

Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
LET X BE THE SECOND SIDE
X-5 IS THE FIRST SIDE
2(X-5) IS THE THIRD SIDE
NOW WE ADD ALL THREE SIDES & SET THEM EQUAL TO 33
X+(X-5)+2(X-5)=33
4X-5-10=33
4X=33+15
4X=48
X=48/4
X=12 INCHES FOR THE FIRST SIDE
12-5=7 FOR THE SECOND SIDE &
2(12-5)=2*7=14 FOR THE THIRD SIDE
PROOF
12+7+14=33
33=33
-------------------------------------------------------
LET M=MEDIUM SIDE
M-8=SHORTEST SIDE
3(M-8)+4=LONGEST SIDE
M+(M-8)+3(M-8)+4=27
M+M-8+3M-24+4=27
5M=27+8+24-4
5M=55
M=55/5
M=11 THE MEDIUM SIDE
THE SHORTEST SIDE IS 11-8=3 FEET.
RELATED QUESTIONS
the first side of a triangle is 5 more than 3 times the third side. the second side is 5... (answered by bam878s)

the perimeter of a triangle is 71cm. the first side is 3cm shorter than the second side,... (answered by Tatiana_Stebko)

the second side of a triangle is 2dm less than twice the first side and the third side is (answered by mananth)

1.) The perimeter of a triangle is 76 centimeters. The second side is twice as long as... (answered by haileytucki,mananth)

The perimeter of a triangle is 76. the second side is twice as long as the first side.... (answered by JulietG)

The first side of a triangle measures 5 in. less than the second side, the third side is... (answered by jojo14344,KnightOwlTutor)

A triangle has a perimeter of 69 meters. The length of the second side is twice the... (answered by josgarithmetic,ikleyn)

The first side of a triangle is four less than twice the second side. The third side is 5 (answered by JulietG)

The perimeter of a triangular garden is 103 feet. The second side of the garden is twice (answered by amarjeeth123)