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In triangle ABC, point X is on side BC such that AX=13,BX=10,CX=10, and the circumcircles of triangles ABX and ACX have the same radius. Find the area of triangle ABC.

 May 26, 2023
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The area of triangle ABC is 

\(A_{ABC}=\dfrac{(\overline {BX}+\overline {XC})\cdot \overline {AX}}{2}=\dfrac{(10+10)\cdot 13}{2}=130\)

laugh  !

 May 27, 2023

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