In-a-triangle-ABC-with-BCA-90-the-perpendicular-bisector-of-AB-intersects-segments-AB-and-AC-at-X-and-Y-respectively-If-the-ratio-of-the-area-of-quadrilateral-BXYC-to-the-area-of-triangle-ABC-i

Question Number 19794 by Tinkutara last updated on 15/Aug/17

In a triangle A B C with ∠ B C A = 90 °,

the perpendicular bisector of A B

intersects segments A B and A C at X

and Y, respectively . If the ratio of the

area of quadrilateral B X Y C to the

area of triangle A B C is 13 : 18 and

B C = 12 then what is the length of A C ?