Trapezoid Height Evaluation

[GtrX]

If we have trapezoid with bases a and b and diagonals are perpendicular , what is the max value of height of that trapezoid ?

 

[Deleted member 4993]

If we have trapezoid with bases a and b and diagonals are perpendicular , what is the max value of height of that trapezoid ?
View attachment 23084

If I were to do this problem, I would first assign names to all the vertices and draw x-y axes with origin at the corner. I would calculate the equations of the diagonals and see what do I get out of those being perpendicular.

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Please share your work/thoughts about this problem.

 

[GtrX]

Ok

 

[GtrX]

If we have trapezoid with bases a and b and diagonals are perpendicular , what is the max value of height of that trapezoid ?
View attachment 23084

But actually I can delete this Post Because I solved it already . And this is solution if one is interested :

 

[Deleted member 4993]

But actually I can delete this Post Because I solved it already . And this is solution if one is interested : View attachment 23087

Excellent!