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The three-dimensional figure shown is a right rectangular prism. What is the area of triangle PQR? Express your answer in simplest radical form. 

 

 Jul 28, 2022
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PR  =sqrt (3^2 + 4^2)  =  sqrt (25)  = 5

PQ =  sqrt (3^2 + 5^2)  =  sqrt (34)

OR =  sqrt (4^2 + 5^2) = sqrt (41)

 

Semiperimeter   =  (5 + sqrt (34) + sqrt (41) )  / 2

 

[ PQR ]  =  sqrt  ( S ( S - 5) ( S - sqrt 34 ) ( S -sqrt 41 ) )   =   sqrt (769) /  2 

 

 

cool cool cool

 Jul 28, 2022
edited by CPhill  Jul 28, 2022

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