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What is the area in square units of the quadrilateral $XYZW$ shown below?  Also, find $WY$.

 

 Jan 2, 2024
 #1
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Semiperimeter of top triangle =  19/2 = 9.5

Semiperimeter of bottom triangle  = 20/2 = 10

 

Area =  sqrt [ 9.5 ( 9.5 - 9) (9.5 - 7) (9.5 -3) ] + sqrt [ 10 (10 - 9) (10 -6) (10 - 5) ] =

 

sqrt [ 9.5 * .5 * 2.5 * 6.5 ]  + sqrt [ 10 * 4 * 5  ] =

 

sqrt [ 77.1875 ] +  sqrt [ 200]  ≈  22.93

 

 

WY  (by graph) ≈  5.34

 

cool cool cool

 Jan 3, 2024

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