Line l touches the circle ω at point K. Points A and B are chosen on ω in such a way that they are situated on opposite sides with respect to the diameter of ω that passes through point K. Find the area of triangle AKB if the distances from points A and B to line l are equal to 7 and 11 respectively, and AK=13. Round the answer to the closest integer.
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Expert's answer
2020-11-26T19:11:30-0500
Let F∈l,AF⊥l;T∈l,BT⊥l;N∈BT,AN⊥BT; O is the center of the circle ω.
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