SOLUTION: Hello, can anyone help me with solving this? Two sides of a triangle have the same length. The third side measures 3m less than twice the common length. The perimeter of the tri

Algebra ->  Triangles -> SOLUTION: Hello, can anyone help me with solving this? Two sides of a triangle have the same length. The third side measures 3m less than twice the common length. The perimeter of the tri      Log On


   



Question 642251: Hello, can anyone help me with solving this?
Two sides of a triangle have the same length. The third side measures 3m less than twice the common length. The perimeter of the triangle is 13m.
What is the length of the two sides that have the same length?
What is the length of the third side?

Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two sides of a triangle have the same length. The third side measures 3m less than twice the common length. The perimeter of the triangle is 13m.
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Let the length of the 2 equal sides be "x" meters:
Length of 3rd side is 2x-3 meters
Equation:
x + x + 2x-3 = 13
4x = 16
x = 4 meters
2x-3 = 5 meters
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What is the length of the two sides that have the same length?::::4 meters
What is the length of the third side?:::: 5 meters
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Cheers,
Stan H.
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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

given:
Two sides of a triangle have the same+length.
let's sides be a and b....=>...a=b
The third side c measures 3m+less than twice the common length.
c%2B3m=2a...=>...%28c%2B3m%29%2F2=a
The perimeter of the triangle is 13m.
P=13m
solution:
P=a%2Bb%2Bc....since a=b and P=13m, we have
13m=a%2Ba%2Bc
13m=2a%2Bc...since c%2B3m=2a, we have
13m=c%2B3m%2Bc
13m=2c%2B3m...solve for c
13m-3m=2c
10m=2c
10m%2F2=c
highlight%285m=c%29
now find %28c%2B3m%29%2F2=a
%285m%2B3m%29%2F2=a
8m%2F2=a
highlight%284m=a%29
now find b....since...a=b..=>...highlight%284m=b%29