Calculate the area of triangle ABC with altitude CD given A (6, -2), B (1,3), C (5,5), and D (2,2)

- anonymous

Calculate the area of triangle ABC with altitude CD given A (6, -2), B (1,3), C (5,5), and D (2,2)

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- anonymous

12 square units
13 square units
14 square units
15 square units

- anonymous

@coolman500 @kidrah69 @Demonx341 @Data_LG2 @freckles

- anonymous

Based on my calculations I though it was 13 units

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## More answers

- anonymous

thought not though

- anonymous

Formula for the area of a triangle is 1/2bh. Do you have any diagrams for this?
IF not then I'll assum it will look like this:|dw:1433175385799:dw|
First thing you have to do is find the length of of the base, which is the length of AB
Then find the height/altitude, which is the length of CD
Calculate the lengths using the distance formula.
Then after you find the value, apply the the formula for the area.
Give me a sec. I'll try to solve it also and I'll tell you if we get the same thing.

- anonymous

OK thanks. I just keep getting the same result...

- anonymous

I get a different answer. hmm.. can you tell me what did you get for the length of AB?

- anonymous

I just calculated the triangle and multiplied the volume against the length of it and I keep getting the same result.@Data_LG2

- anonymous

@Data_LG2 I suck at math AND I AM SHERLOCK HOLMES FOR CRYING OUT LOUD

- anonymous

i REALLY WISH SOMEONE WOULD ANSWER! I feel like I am in the math-twilight zone :(:::::

- anonymous

sorry late response..
do you know the distance formula?

- anonymous

Sort of...

- anonymous

|dw:1433176061208:dw|

- anonymous

The only thing i know abou the distance formula that it is derived from the Pythagorean theorem. And to find the distance between two points (x1,y1) and (x2,y2), all that you need to do is use the ...

- anonymous

yes, that is right. We have to apply it though.
It is better if we do this step by step :)

- anonymous

Can you walk me through it... :(

- anonymous

|dw:1433176185824:dw|
what will you get when you evaluate this?

- anonymous

Sorry I don't lmpw

- anonymous

know

- anonymous

alright :)
what is 1-6?

- anonymous

I am -5????

- anonymous

yes, let's put that in|dw:1433176404671:dw|
now what is 3-(-2) ?

- anonymous

1?

- anonymous

negative times a negative will be positive, so it will be 3+2, now what is 3+2?

- anonymous

Sorry I forgot.. :(::::

- anonymous

5

- anonymous

yes, now we'll put that in|dw:1433176628395:dw|
now what is -5 x -5 ?

- anonymous

um 25?

- anonymous

yes.
|dw:1433176810532:dw|
next what is 25+25?

- anonymous

duh 50

- anonymous

k good, what is the sqrt of 50?

- anonymous

I think its 7.1

- anonymous

But the full answer is 7.07106781187

- anonymous

alright, that will be the base.
next do the whole thing again but with the length of CD :)

- anonymous

Give me a second

- anonymous

OK. I am going with 15 units it sounds right.

- anonymous

can you tell me how'd you get that?

- anonymous

I did the whole thing and thats what I got.

- anonymous

I did it except witht he length of CD :)

- anonymous

ok?

- anonymous

dO You think its right. ? @Data_LG2

- anonymous

yes, it is right. But I just hope you understand how to get that answer :)

- anonymous

@Data_LG2 Thanks I learned a lot

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