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MATH / Points X and Y lie on sides AB and AC respectively of triangle ABC. If AB=7, AC=10, AX=4 and AY=6, what is the ratio of the area of triangle AXY to the area of triangle ABC?

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problem

Points XX and YY lie on sides ABAB and ACAC respectively of triangle ABCABC. If AB=7AB=7, AC=10AC=10, AX=4AX=4 and AY=6AY=6, what is the ratio of the area of triangle AXYAXY to the area of triangle ABCABC?
Plain-text mathematical notation (without MathML)
Points X and Y lie on sides AB and AC respectively of triangle ABC. If AB=7, AC=10, AX=4 and AY=6, what is the ratio of the area of triangle AXY to the area of triangle ABC?
Original LaTeX notation
Points $X$ and $Y$ lie on sides $AB$ and $AC$ respectively of triangle $ABC$. If $AB=7$, $AC=10$, $AX=4$ and $AY=6$, what is the ratio of the area of triangle $AXY$ to the area of triangle $ABC$?

level

Level 4

type

Geometry

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Source and history

task_id
20b6a02c-a8b7-5571-9f14-fcd7ed396f71
task_key
geometry--test--20b6a02c-a8b7-5571-9f14-fcd7ed396f71
task_revision_id
1
config / split
geometry / test

Official source

initial import