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Mathematics 8 Online
OpenStudy (alexandervonhumboldt2):

Geo Party

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|

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?

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 :)

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|

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

OpenStudy (alexandervonhumboldt2):

it doesn't matter

OpenStudy (dannyo19):

The diagonal, well list point A,B,C,D and it does..

OpenStudy (alexandervonhumboldt2):

no it in't xD |dw:1451798645523:dw|

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