The middle line of the trapezoid is 16 cm, and the perimeter is 64 cm. Prove that a circle can be inscribed into this trapezoid.
| December 8, 2020 | education
A circle can be inscribed into a trapezoid if the sums of its opposite sides are equal.
The middle line is half the sum of the bases:
16 * 2 = 32
Now let’s find the sum of the other parties:
64 – 32 = 32
32 = 32
Since the sums of the opposite sides are equal, a circle can be inscribed into this trapezoid.
Answer: You can
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