Inscribed circle in a trapezoid 1
A circle is inscribed in a right-angled trapezoid with a large base a and a small base b.
Express the radius of the circle in terms of a and b.
1.
Express the height of the trapezoid h in terms of the radius of the inscribed circle r. Complete the drawing with the labels of the tangent points and construct the corresponding segments or access the link https://www.geogebra.org/m/suq84fbg
2.
Notice the connection between the sum of the opposite sides of the rectangular trapezoid?
3.
Prove that: BC=a+b–2r
4.
We draw CL perpendicular to AB. In triangle CLB, write the Pythagorean theorem and find r.