The bisectors of angles A and B at the lateral side AB of the trapezoid ABCD meet at point F. Find AB if AF = 21, BF = 20.
| September 18, 2021 | education
The bisectors of the trapezoid, drawn from the vertices of the lateral side, form a right angle at the point of their intersection. Then the triangle AFB is rectangular, in which we determine the length of the hypotenuse AB.
AB ^ 2 = BF ^ 2 + AF ^ 2 = 20 ^ 2 + 21 ^ 2 = 400 + 441 = 841.
AB = 29 cm.
Answer: The length of the AB side is 29 cm.
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