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Right triangle XYZ has legs of length XY = 12 and YZ = 6.  Point D is chosen at random within the triangle XYZ.  What is the probability that the area of triangle XYD is at most 20?

 Mar 16, 2023
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Right triangle XYZ has legs of length XY = 12 and YZ = 6.  Point D is chosen at random within the triangle XYZ.  What is the probability that the area of triangle XYD is at most 20?

 

If point D is anywhere in the region    XYAC  then the area of  XYD will be at most 20.   Can you work out why?

 

So the prob that XYD<=20    is          Area of XYAD divided by  Area of  XYZ

 

 

 Mar 17, 2023

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