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 2 years ago
Two adjacent sides of a parallelogram are 51 cm and 37 cm. One of its diagonals is 20 cm, then its area is.....
a) \[412 cm^2\]
b) \[512 cm^2\]
c) \[612 cm^2\]
d) \[712 cm^2\]
 2 years ago
Two adjacent sides of a parallelogram are 51 cm and 37 cm. One of its diagonals is 20 cm, then its area is..... a) \[412 cm^2\] b) \[512 cm^2\] c) \[612 cm^2\] d) \[712 cm^2\]

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sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.1Use herons formula to calculate the area of one half of the parallelogram.

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1354886905111:dw

sauravshakya
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1354886978203:dw

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1354887034102:dw

chihiroasleaf
 2 years ago
Best ResponseYou've already chosen the best response.0yes.., s = 54, then what is the area of the triangle?

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1354887176565:dw

chihiroasleaf
 2 years ago
Best ResponseYou've already chosen the best response.0yup..., now simplify ...

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1354887394948:dw

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.0now, then multiply it by 2 to get 612 cm^2. so option c is right answer.....right???

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.0right? @chihiroasleaf and @sauravshakya

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.0any short method!!!!

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.0@hartnn @sirm3d @amistre64 @AravindG @AccessDenied any short method!!!to solve this question!!!

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.0@DLS @satellite73 @nubeer plz help me!!!

DLS
 2 years ago
Best ResponseYou've already chosen the best response.0if u were given the coordinates then I would've given u a shorter method

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.0no, i am in 9 class its very long method

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.0anyways!!! thnx...

scarydoor
 2 years ago
Best ResponseYou've already chosen the best response.0I may have a way of calculating those coordinates quickly: dw:1354889186448:dw \[x^2+y^2=c^2\\x^2+(ya)^2=b^2\\x^2+y^2+a^22ay=b^2\\c^2+a^22ay=b^2\\y=\frac{b^2c^2a^2}{2a}\\x=\sqrt{\frac{b^2a^2}{2a}}\]

scarydoor
 2 years ago
Best ResponseYou've already chosen the best response.0So now you know the coordinates of the parallelogram. There is a formula from algebra about how to calculate the area. It involves cross products or inner products or something?

scarydoor
 2 years ago
Best ResponseYou've already chosen the best response.0http://en.wikipedia.org/wiki/Parallelogram#The_area_on_coordinate_system

scarydoor
 2 years ago
Best ResponseYou've already chosen the best response.0If you had good memory, you could just memorise the formula for x and y that I derived above. (I think it's right...) Then calculating the area would take about three lines.

mayankdevnani
 2 years ago
Best ResponseYou've already chosen the best response.0thnx... @scarydoor

scarydoor
 2 years ago
Best ResponseYou've already chosen the best response.0actually the formula for x might be slightly off.... but it can be fixed I think.
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