Question

the longer diagonal of parallelogram measures 62 cm and makes an angle of 30 degrees with the base. Find the area of the parallelogram if the diagonals intersect at an angle of 70 degrees.
Can you show me the figure, unknown, and soulution.. iwill give medals

Answer 1

http://openstudy.com/study#/updates/52777e19e4b0275c53859983

Answer 2

Since the angle of intersection of the diagonals is 70 degrees then the other angle of intersection of the diagonals is 110 degrees.

180 = 70 + θ
where θ = the other angle of intersection
θ = 110 degrees

A parallelogram makes 4 oblique triangles. One triangle has angles : 30, 40, and 110 degrees.
Since the diagonals intersect at their midpoints, the length of a side of one oblique triangle will measure 31 degrees (which is from 62/2).
By the given values you can solve for half the length of the shorter diagonal using the law of sines.
31/sin40 = x/sin30
where x = the length of one side of the oblique triangle and also half the length of the shorter diagonal.
x = 24.11371932 cm
2(24.11371932) = 48.23 --> length of shorter diagonal

use the formula:
Area of parallelogram = (lenth of longer diagonal x lenth of shorter diagonal x sinθ)/2
where θ = angle of intersection of the two diagonals (either 70 degrees or 110 degrees)

A = ((62 cm)(48.23)sin70)/2
A = 1404.962628 or 1405 cm^2

Answer 3

Whoa. o_o;

Answer 4

ok i get it lol

Answer 5

xD

Answer 6

ouch how the figure @kittiwitti1

Answer 7

?

Answer 8

can you draw the figure for me.. iwill give you medal :D

Answer 9

I'm actually supposed to be in bed now... I have to finish my homework in 20 minutes sorry

Answer 10

just label please

Answer 11

I can't, I'm really tired and I don't want to lead you in the wrong direction u_u;
@Compassionate he still needs help~

Answer 12

@Kainui can you label it please

Answer 13

@Compassionate can you draw the figure

Answer 14

They are talking in chat @TheKinslayer. lol

Answer 15

i cant draw the figure that is only the missing to solve this problem :D

Answer 16

My brain cannot process complex functions in any kind of math. I am sorry.

Answer 17

i dont know how to label.... 30,40,110,31 LOL

Answer 18

; ;

Answer 19

I have 2 more problems here :D

Answer 20

what is OS btw?

Answer 21

.....................

Answer 22

open study?

Answer 23

Open Study ....

Answer 24

es

Answer 25

one question per thread please

Answer 26

@ganeshie8 I think it is only one question per now, but he is not getting the help he needs, it seems

Answer 27

per thread*

Answer 28

@ganeshie8 please show me the figure :D