Set how long should be the BC side of trapezoid ABCD so that a circle can be inscribed in it.
| March 23, 2021 | education
Set how long should be the BC side of trapezoid ABCD so that a circle can be inscribed in it. It is known that AB = 17 mm, AD = 20 mm, DC = 22 mm.
A circle can be inscribed into a quadrilateral if and only if the sums of the lengths of its opposite sides are equal.
Since the trapezoid is a quadrilateral, we will apply this rule for it.
AB + CD = BC + AD.
17 + 22 = BC + 20.
BC = 39 – 20 = 19 cm.
Answer: The length of the BC side should be 19 cm.
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