The bisectors of angles A and B at the lateral side AB of trapezoid ABCB intersect at point F. Find AB if AF = 24 BF = 10
| August 6, 2021 | education
By the property of the bisectors of a trapezoid, the bisectors of the angles at the lateral sides intersect at right angles. Then the triangle ABF is rectangular, in which, according to the Pythagorean theorem, we determine the length of the hypotenuse AB.
AB ^ 2 = AF ^ 2 + BF ^ 2 = 24 ^ 2 + 10 ^ 2 = 576 + 100 = 676.
AB = 26 cm.
Answer: The length of the AB side is 26 cm.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
