SOLUTION: The shortest side of a triangle is three inches shorter than the longest side. The remaining side is two inches longer than the shortest side. The perimeter of the triangle is tw
Algebra.Com
Question 346634: The shortest side of a triangle is three inches shorter than the longest side. The remaining side is two inches longer than the shortest side. The perimeter of the triangle is twenty inches. What is the length of each side?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let A,B, and C be the sides of the triangle, ordered from shortest to longest.
1.
2.
From eq. 1,
THe perimeter of the triangle is,
Substitute,
inches
Then
inches
and
inches
RELATED QUESTIONS
the longest side of a triangle is four inches longer than the shortest side. The... (answered by texttutoring)
The longest side of a triangle is four inches longer than the shortest side. The... (answered by richwmiller)
A triangle has a perimeter of 28 inches. One side of the triangle is 4 inches longer than (answered by nyc_function)
A triangle has a perimeter of 84 inches. its shortest side measures 9 inches shorter than (answered by dewasmaharaja)
the longest side of a right triangle is 9 inches longer than the shortest side. the... (answered by mananth)
The shortest side of a triangle is 8 inches less than the medium side, and the longest... (answered by rfer)
The perimeter of a triangle is 105 inches. The longest side is 22 inches longer than the... (answered by edjones)
one side of a triangle is 1 inch longer than shortest side and is 1 inch shorter than the (answered by stanbon)
THE LONGEST SIDE OF A RIGHT TRIANGLE IS 4 INCHES MORE THAN THE SHORTEST SIDE. THE THIRD... (answered by josgarithmetic,ikleyn)