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The perimeter of an isosceles triangles is 10 3/4 cm. if one of it is equal sides is 2 5/6. Find it's third side.
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Answer :

ebutler17
You start by finding the least common multiple of 4 and 6 since those are your denominators. In this case it is 12. You multiply 4 by 3 to get 12 so you’ll also multiply your numerator (3) by 3, giving you 9. Now 10 3/4 is written as 9/12. You then convert your other fraction using the same method giving you 10/12. You double 2 10/12 since it is on of the equal sides. 2 10/12 doubled is 5 8/12. Now you subtract 5 8/12 from the perimeter of the triangle 10 9/12 giving you 5 1/12. The third side is 5 1/12 cm.

Answer:

5.08 cm to two decimal places

Step-by-step explanation:

The perimeter of the triangle is 10 3/4 cm

An isosceles triangle has two equal sides.

If one of these equal sides is 2 5/6 cm, we know that the other equal side is going to be the same length.

So far, 2 5/6 cm + 2 5/6 cm = 5.66666666667 cm.

10 3/4 cm is equal to 10.75 cm.

Since the perimeter is all the side lengths added together, we can subtract the sum of the two equal sides to find the third side.

10.75 cm - 5.66666666667 = 5.08333333333 cm

to two decimal places, this would be 5.08 cm.

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