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# geometry

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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?

May 19, 2022

#1
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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.

!

May 19, 2022