I want a way to calculate the length of a line that interests a trapezoid and is parallel to the bases. I have seen how to calculate the midsegment and how to use the similar triangles method but the only examples I saw for it involved isosceles trapezoids. Is there a method that works for all sorts of trapezoids?
Clarification: in my calculus textbook I have questions involving an area shaped like a trapezoid and I want to take integral over that area But to do that I need to be able to find the length of all line segments parallel to base that intersect the trapezoid.
Here is the question in my textbook example. But here the trapezoid is isosceles. I want to know if this method works for other types of trapezoids.
For example let's consider this trapezoid in this image:
I want to calculate the length of the segment tgat is parallel to the bases and intersects the legs, and has hight 1 cm.
Or any arbitrary hight between the two bases.