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OpenStudy (alexandervonhumboldt2):
Easy:
Perimeter of rhombus is 40. The diagonal of it cuts off a triangle with perimeter 36. Find the height.
Hard:
Construct a quadrilateral from the midpoints of three equal sides.
OpenStudy (alexandervonhumboldt2):
I already solved this, just want some Geo Geeks to solve this as well.
OpenStudy (alexandervonhumboldt2):
@imqwerty
OpenStudy (alexandervonhumboldt2):
@ganeshie8 @ParthKohli
OpenStudy (alexandervonhumboldt2):
for hard. here is the drawing:
|dw:1451797094804:dw|
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OpenStudy (dannyo19):
Yes
OpenStudy (alexandervonhumboldt2):
wat yes?
OpenStudy (dannyo19):
root 75
OpenStudy (alexandervonhumboldt2):
where did you got root 75? and it is wrong .
OpenStudy (dannyo19):
On a rhombus each side is equal, if the perimeter is 40 that means each side is length 10 yeah?
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OpenStudy (alexandervonhumboldt2):
yes.
OpenStudy (dannyo19):
So the bisector initializing the height will leave a pythogorean 5 squared + height squared must equal 10 squared, the square root of 75
OpenStudy (alexandervonhumboldt2):
|dw:1451798214245:dw|
OpenStudy (alexandervonhumboldt2):
BH is the height
OpenStudy (alexandervonhumboldt2):
hint: perimeter of ABD is 36. find the AC, then find AM, then use pyth to find BM, then use area of triangle to solve :)
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OpenStudy (dannyo19):
No AC would be height the way you draw that ...
OpenStudy (alexandervonhumboldt2):
no, AC is the diagonal, not the height. Height is a perpendicular line to a side.
OpenStudy (dannyo19):
Could you draw the rhombus so it's at rest flipped 90 degrees?
OpenStudy (alexandervonhumboldt2):
why :\
OpenStudy (alexandervonhumboldt2):
|dw:1451798511570:dw|
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OpenStudy (ibrafacts):
yo
OpenStudy (dannyo19):
Yes
OpenStudy (ibrafacts):
i will solve this
OpenStudy (dannyo19):
now the top to the bottom looks to be the height
OpenStudy (alexandervonhumboldt2):
rofl
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OpenStudy (alexandervonhumboldt2):
it doesn't matter
OpenStudy (dannyo19):
The diagonal, well list point A,B,C,D and it does..