Question 437066: Two sides of a triangle are equal in length, and the third side is 10 inches. If the perimeter is 26 inches, how long are the two equal sides?
Answer by oberobic(2304)   (Show Source):
You can put this solution on YOUR website! The sides can be identified as a, b, and c.
Two sides are equal, so we can say a=b.
The perimeter = a+b+c, or 2a + c.
We are told the other side = 10, so:
c = 10
We are told perimeter = 26.
2a + c = 26
Substituting for c = 10.
2a + 10 = 26
Subtracting 10 from both sides.
2a = 16
Dividing both sides by 2.
a = 8
A quick mental check confirms the perimeter = 8 + 8 + 10 = 26.
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Always review the question to make sure you answer it.
Answer: The two equal sides are 8 inches each.
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Done.
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