SOLUTION: 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?

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.
.
Always review the question to make sure you answer it.
Answer: The two equal sides are 8 inches each.
.
Done.
RELATED QUESTIONS
Two sides of a triangle are equal in length, and the third side is 10 inches. If the... (answered by oberobic)

Two sides of a triangle are equal in length, and the third side is 3 inches. If the... (answered by josgarithmetic)

an isosceles triangle has a perimeter of 35 inches. the two equal sides are each 4 inches (answered by josgarithmetic)

As isosceles triangle has two sides of equal length. If the third side of an isosceles... (answered by Fombitz)

the perimeter of a triangle is 73 inches. If two sides are of equal length and the third... (answered by fractalier,addingup)

The perimeter of a triangle is 73 inches. If two sides are of equal length and the third... (answered by ikleyn)

If the perimeter of the triange is 32 inches, what is the length of the longest side if... (answered by rfer)

Two sides of a triangle sign are 24 inches long. The third side is 18 inches long. What (answered by Fombitz,Shin123)

Two sides of a triangle are equal in length and double the length of the shortest side.... (answered by Schaman_Dempster)