The middle line of the trapezoid is 30 cm. The base difference is 8. Find the bases of the trapezoid.
| November 29, 2020 | education
We denote the lengths of the bases by X and Y.
The length of the middle line is equal to the arithmetic mean of the lengths of the bases.
We get a system of equations.
X = Y + 8
(X + Y) / 2 = 30
It is difficult to write a solution to the system here, so X = 34, Y = 26
Answer: 34 and 26.
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