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The triangle shown at the right is isosceles. That is, it has two sides of an equal length. The third side is 30 m shorter than twice the length of each congruent side. The perimeter is 570 m. Find the length of each side.

The triangle shown at the right is isosceles. That is, it has two sides of an equal-example-1

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We know that perimeter of the triangle its a+b+c=570
Moreover we know that:
a=b
b=b
c=2b-30
Finally we can substitute into our formula
b+b+2b-30=570
4b-30=570 /+30
4b=600 /:4
b=150 - its a and b side
c=2*b-30
c=300-30
c=270 - its c side
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