SOLUTION: The perimeter of a triangle is 105 inches. The longest side is 22 inches longer than the shortest side. The sum of the lengths of the two shorter sides is 15 inches more than the l

Question 196293This question is from textbook College Algebra
: The perimeter of a triangle is 105 inches. The longest side is 22 inches longer than the shortest side. The sum of the lengths of the two shorter sides is 15 inches more than the length of the longest side. Find the lengths of the sides of the triangle. This question is from textbook College Algebra

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let L=longest side, s=shortest, b=in between side.
a) L+b+s=105
b) L=s+22
c) b+s=L+15
c) b+s=s+22+15 substitute s+22 for L
c) b=37 subtract s from each side.
a) s+22+37+s=105
a) 2s=105-59
a) 2s=46
a) s=23
b) L=23+22
b) L=45
.
Ed
RELATED QUESTIONS
The shortest side of a triangle is three inches shorter than the longest side. The... (answered by Fombitz)

The shortest side of a triangle is 8 inches less than the medium side, and the longest... (answered by rfer)

the longest side of a triangle is four inches longer than the shortest side. The... (answered by texttutoring)

The third side of a triangle is 4 inches longer than the shortest side and 2 inches... (answered by sachi)

A triangle has a perimeter of 28 inches. One side of the triangle is 4 inches longer than (answered by nyc_function)

The longest side of a triangle is four inches longer than the shortest side. The... (answered by richwmiller)

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 53 inches. The medium side is 5 inches more than the... (answered by rfer)