SOLUTION: The lengths of the sides of a triangle measured in inches are three consecutive integers. The length of the shortest side is 30% of the perimeter. Find the lengths of the three sid
Algebra.Com
Question 662557: The lengths of the sides of a triangle measured in inches are three consecutive integers. The length of the shortest side is 30% of the perimeter. Find the lengths of the three sides and be sure to explain your thinking as you show work which results in a correct solution. I really need this worked out step by step so I can show how the problem was solved. Thank you for your help!
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
x x+1 x+2
x = .3(x+x+1+x+2)
x = .3(3x + 3)
x = .9x + .9
x - .9x = .9
.1x = .9
x = 9
Integers are 9, 10 and 11
Proof
9+10+11 = 30 and 30(.3) = 9
.................
Delighted to help
-Reading Boosters
RELATED QUESTIONS
The lengths of the sides of a triangle in inches are three consecutive integers. The... (answered by ikleyn)
The length of the shortest side of a right triangle is 6 inches. The lengths of the other (answered by stanbon)
The lengths of the sides of a triangle are consecutive even integers. Find the length of... (answered by Alan3354)
The shortest side of a right triangle measures 6m. The length of the other two sides are (answered by advanced_Learner)
The shortest side of a right triangle is 7 meters. The lengths of the other two sides are (answered by Alan3354)
The shortest side of a right triangle measures 8cm. The lengths of the two other sides... (answered by ewatrrr)
the shortest side of a triangle measures 8cm. The lengths of the other two sides are... (answered by Boreal)
The shortest side of a right triangle measures 13m. The lengths of the other two sides... (answered by Fombitz,Boreal)
the shortest side of a right triangle measures 32m. The lengths of the other two sides... (answered by addingup)