SOLUTION: The vertices of quadrilateral are (7,9), (8,-4), (-5,-2), (0,9). What is the sum of lengths of its diagonals?

Algebra ->  Parallelograms -> SOLUTION: The vertices of quadrilateral are (7,9), (8,-4), (-5,-2), (0,9). What is the sum of lengths of its diagonals?      Log On


   

Question 328748: The vertices of quadrilateral are (7,9), (8,-4), (-5,-2), (0,9). What is the sum of lengths of its diagonals?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Calculate the distance from (0,9) to (8,-4)
D1%5E2=%280-8%29%5E2%2B%289-%28-4%29%29%5E2
D1%5E2=64%2B169
D1%5E2=233
D1=sqrt%28233%29
Calculate the distance from (7,9) oto (-5,-2)
D2%5E2=%287-%28-5%29%29%5E2%2B%289-%28-2%29%29%5E2
D2%5E2=144%2B121
D2%5E2=265
D2=sqrt%28265%29
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D=D1%2BD2=sqrt%28233%29%2Bsqrt%28265%29