The middle line of the trapezoid is 25 and the smaller base is 17. Find the larger base of the trapezoid.

Answer: 33. Explanation of the solution: to solve this problem, it is necessary to use the theorem about the middle line of a triangle, which sounds like this: The middle line of a triangle connecting the midpoints of two given sides is parallel to the third side and equal to its half. Therefore, denoting the larger base of the trapezoid “x”, we can make the equation: (x + 17) / 2 = 25 Solving this equation, we get: (x + 17) / 2 = 25 (x + 17) = 50 x = 33.