# How do you find the lengths of the non-parallel sides of a trapezoid with a height of 7m and bases of 6m and 8m?

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To find the lengths of the non-parallel sides of a trapezoid with a height of 7 meters and bases of 6 meters and 8 meters, you can use the formula for the area of a trapezoid, which is ( A = \frac{1}{2} (b_1 + b_2) \times h ). Given that the height (h) is 7 meters and the bases (b1 and b2) are 6 meters and 8 meters respectively, you can plug these values into the formula and solve for the length of the non-parallel sides.

( A = \frac{1}{2} (6 + 8) \times 7 )

( A = \frac{1}{2} \times 14 \times 7 )

( A = 7 \times 7 )

( A = 49 )

Then, you need to divide the area by the height (7) to get the average length of the bases. Since the trapezoid has two bases, subtract the length of one base from the average length to find the length of the non-parallel side.

( Average \ length \ of \ bases = \frac{6 + 8}{2} = 7 )

( Length \ of \ non-parallel \ side = Average \ length \ of \ bases - Length \ of \ base )

( Length \ of \ non-parallel \ side = 7 - 6 = 1 ) meter ( Length \ of \ non-parallel \ side = 7 - 8 = -1 ) meter

Therefore, the lengths of the non-parallel sides of the trapezoid are 1 meter and -1 meter. However, a negative length is not physically meaningful in this context. Therefore, the length of the non-parallel side is 1 meter.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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