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Find the missing length of the trapezoid below

 

 Mar 18, 2020
 #1
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Draw  perpendicular AB  from  the  top left vertex  to the base

 

Let  C   be the  bottom left  vertex of the trapezoid

 

Then  triangle  ABC  is a right triangle  with  AC  the hypotenuse and  BC  a leg

 

Note  that  BC   =  8  - 5    =  3

 

So....the  missing side  [ the height of the trapezoid ]  is

 

√[ AC^2  - BC^2]   = √[7^2  - 3^2] =  √[49 - 9 ] =  √40  =   2√10

 

 

cool cool cool

 Mar 18, 2020

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