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anonymous
 one year ago
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anonymous
 one year ago
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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ABCD is a parallelogram Which is greater a. The area of ABCD b. 24 dw:1437774703693:dw

freckles
 one year ago
Best ResponseYou've already chosen the best response.2do you know how to find the area of parallelogram ? dw:1437775012406:dw

freckles
 one year ago
Best ResponseYou've already chosen the best response.2where the area is b*h

freckles
 one year ago
Best ResponseYou've already chosen the best response.2we are actually given b is 4

freckles
 one year ago
Best ResponseYou've already chosen the best response.2you could use a trig ratio you know an angle and you also know the hyp of the triangle I drew inside the parallelogram

freckles
 one year ago
Best ResponseYou've already chosen the best response.2the opp of that angle is the thing you want to find

freckles
 one year ago
Best ResponseYou've already chosen the best response.2opp and hyp think sin( )

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait.... I cant use sin we don't use that it has to be an alternative method...

freckles
 one year ago
Best ResponseYou've already chosen the best response.2ok what is the alternative method?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im not sure it has to be done without sin tho...

freckles
 one year ago
Best ResponseYou've already chosen the best response.2oh then I don't know of another way to find the area

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0crap... it's talking about the area of the parallelogram is equal to the length of base AD which is 4 times the height which is less than 6

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Since the product of 4 and a number less than 6 must be less than 24, the area of the parallelogram must be less than 24.

freckles
 one year ago
Best ResponseYou've already chosen the best response.2so we don't need to find the area exactly

freckles
 one year ago
Best ResponseYou've already chosen the best response.2we can approximate it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what does this all mean..

freckles
 one year ago
Best ResponseYou've already chosen the best response.2dw:1437775540138:dw anyways .... by Pythagorean theorem we have \[h=\sqrt{36a^2} \\ \text{ so area of parallelogram is } 4 \cdot h=4 \cdot \sqrt{36a^2} \\ \text{ and we know that } 0<a<6 \\ \text{ so } \\ 4 \cdot h=4 \sqrt{36a^2} <4 \sqrt{360^2}=4 \sqrt{36}=... \] cam you finish simplifying this

freckles
 one year ago
Best ResponseYou've already chosen the best response.2where 4*h is the area of the parallelogram

freckles
 one year ago
Best ResponseYou've already chosen the best response.2didn't label what I called a by the way dw:1437775996191:dw I used Pythagorean theorem

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[6^2=h^2+a^2 \\ 6^2a^2=h^2 \\ \sqrt{6^2a^2}=h\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hmmmmm i think i get it now..

freckles
 one year ago
Best ResponseYou've already chosen the best response.2and I wanted the thing inside the square root to be positive and I also want a to be positive because a represents a measurement

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[6^2a^2>0 \text{ and } a>0 \\ 6^2>a^2 \text{ and } a>0 \\ 36>a^2 \text{ and } a>0 \\ \text{ solving } a^2<36 \text{ means we have } 6< a<6 \\ \text{ but remember we also need} a>0 \\ \text{ so we need } 0<a<6\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.2and if we multiply both sides by 1 we have \[6<a<0 \\ \text{ so back to the inequality } \\ 4 h=4 \sqrt{36a^2}<4 \sqrt{360^2}\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.2but yeah I would have used my trigonometry knowledge :p

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0this is complicated I'm gonna sit and stare at this for a while.

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[4h=4 \cdot 6 \sin(55)=24\sin(55) \approx 19.66 \]

freckles
 one year ago
Best ResponseYou've already chosen the best response.2all you have to know is that since h is between 0 and 6 (not including 6) we have 4h<4(6)

freckles
 one year ago
Best ResponseYou've already chosen the best response.2how about we say something in general... dw:1437776683255:dw so the simplest way I can write this for your problem is: dw:1437776770728:dw

freckles
 one year ago
Best ResponseYou've already chosen the best response.2and we know a>h because in the right triangle we drew we have a is the hyp or in your example 6 is the hyp

freckles
 one year ago
Best ResponseYou've already chosen the best response.2anyways I think I'm done now :) unless you have questions

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ohhhh okay i think i understand better now

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0needed that visual thank you ^_^

freckles
 one year ago
Best ResponseYou've already chosen the best response.2visuals are the secret to math

freckles
 one year ago
Best ResponseYou've already chosen the best response.2I think it helps to know the hyp is the longest side in a right triangle on this question

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yea definitely helps

freckles
 one year ago
Best ResponseYou've already chosen the best response.2but in all fairness to you I think I started with a complicated reason but the last reason I gave I think is definitely less complicated

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yea it helped towards the end thanks again =)
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