SOLUTION: Solve by using the strategies for solving application problems. A triangle has a perimeter of 105 centimeters. Each of the two longer sides of the triangle is three times as lon

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Question 1131535: Solve by using the strategies for solving application problems.
A triangle has a perimeter of 105 centimeters. Each of the two longer sides of the triangle is three times as long as the shortest side. Find the length of each side of the triangle.
shortest side___cm
longer side____cm
longer side___cm
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Solve by using the strategies for solving application problems.
A triangle has a perimeter of 105 centimeters.
a + b + c = 105
Each of the two longer sides of the triangle is three times as long as the shortest side.
a = 3c
b = 3c
Find the length of each side of the triangle.
:
In the 1st equation, replace a and b with 3c
3c + 3c + c = 105
7c = 105
c = 105/7
c = 15 cm is the shortest side
then
3(15) = 45 cm are the two longer sides
:
:
Check 45 + 45 + 15 = 105