Question

In the following figure, NDBA is a rectangle, AN = NG, BF = DB, GD = 11, and DF = 8√2. What is the area of parallelogram GDFA?

Answer 1

http://i234.photobucket.com/albums/ee155/dramaqueen12572/jhjhjh.gif
plz explain!!

Answer 2

From AN = NG, BF = DB these statements, triangle ANG and triangle BDF are what kind of triangle?

Answer 3

isocoles i believe

Answer 4

Right, now take a look at this http://puu.sh/r11o

Answer 5

Do you understand why I put these angle and side equal?

Answer 6

yes

Answer 7

http://puu.sh/r12e

Now do you think you'll be able to solve it?

Answer 8

Explanation for the angles: Since both side are equal, they are isoceles, RECTANGLE isocele, so the two other angles are 45 degrees each.

Answer 9

but how do you find the height?

Answer 10

All you need to find is NA, which is the height of the rectangle but also the height of the paralellogram, you can find NA by using trig (sin,cos,tan)

Answer 11

OMG NOT TRIG AGAIN >>>>>>>>>>>.<<<<<<<<<<<<<<<<,
how do you find it with trig? Wud you use cos sin or tan?

Answer 12

Use the A angle, AG(8sqrt(2)) would be the hypotenuse and NA would be the sideadjacent
What relation do you see here? (Sideadjacent/Hypotenuse)

Answer 13

sin...? >.<

Answer 14

no

Answer 15

tan

Answer 16

i never really understood trig...

Answer 17

http://puu.sh/r14N

Answer 18

What relation is \[\frac{adjacent}{hypotenuse}\]?
Cos!

Here a little handy note:

use the magic spell "SOHCAHTOA" to remember

Sine (Opposite/Hypotenuse)
Cosine (Adjacent/Hypotenuse)
Tangent (Opposite/Adjacent)

Answer 19

Of course -.- the one i dont guess >.< thanks tho

Answer 20

so it wud be cos(45)=x/8sqrt2?

Answer 21

Yes! Solve for x to find the height ;D

Answer 22

OMG IM A GENIOUS

Answer 23

thank you!

Answer 24

x=8 so 8 is the hieght

Answer 25

Haha, "Everybody is a genius." -Einstein

Np. ;)

Answer 26

so just to be sure, its 88?

Answer 27

Yep, 88 is the area of the paralellogram ;)

Answer 28

YESSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS