Points X and Y lie on sides AB and AC respectively of triangle ABC. If AB=7, AC=10, AX=\(5\) and AY=\(8\), what is the ratio of the area of triangle AXY to the area of triangle ABC?
What is the ratio of the area of triangle AXY to the area of triangle ABC?
Hello Guest!
I assume: Right triangle, right angle in A.
Then applies:
\(A_{AXY}:A_{ABC}=\frac{5\cdot 8}{2}:\frac{7\cdot10}{2}=\color{blue}4:7\)
If the angle in A is not 90°, I'm not sure if this ratio is the same.
!