Find the lengths of the diagonals of this trapezoid

Question

anonymous · Answer

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freckles · Answer

Well I previously posted to use the distance formula but then you closed it right after.

mathstudent55 · Answer

1. This is an isosceles trapezoid, so the diagonals are congruent.
2. Use the distance formula to find the length using the given coordinates.

mathstudent55 · Answer

In case you don't remember, this is the distance formula:

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} $

freckles · Answer

A diagonal is line segment that goes from one vertice to another non-adjacent vertice.

anonymous · Answer

I didnt even take notice to your reply @freckles but heres what i got

40 + 80 + 110 + 4th angle = 360 
4th angle = 130 
130 + x = 180 
x = 50

freckles · Answer

what is x?
And why do we need to do anything with the angles?

freckles · Answer

We are just finding the distance between (a,0) and (-b,c)

mrnood · Answer

@BeSimple 
you do not know any of the angles in this case - so I don't know where you got 40,80,100 from

all you know are 4 points.

They diagram is not 'to scale' and could look like either of the following|:

|dw:1420671594391:dw|

the points (b,c) and (-a,0) are sufficient to define the lengths as given by the formula above.

mrnood · Answer

|dw:1420671880915:dw|