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Mathematics 15 Online
OpenStudy (anonymous):

Howto find area of a triangle?? It says if QP = 10, MN = 25, and LS = 8, calculate the area of triangle LMN

OpenStudy (anonymous):

Use Heron's formula.

OpenStudy (anonymous):

Which is?

OpenStudy (anonymous):

With sides \(a,b,c\) let \(s = (a+b+c)/2\) the area is just \(\sqrt{s(s-a)(s-b)(s-c)}\)

OpenStudy (anonymous):

Oh ok! thank you. Let me solve that real fast

OpenStudy (anonymous):

Will you put the numbers in the equation? I'm getting 43. And thats not correct. Then i got 129 which isnt correct either

OpenStudy (anonymous):

http://tinypic.com/r/2qjkobb/6 Thats what it looks like

OpenStudy (amistre64):

area = base * height/2 when the lengths are scaled by n we get area = nbase * nheight/2 = n^2 bh/2 as a proportion

OpenStudy (amistre64):

in other words, you need to determine the lengths of the corresponding sides using ratios and proportionalities most likely

OpenStudy (anonymous):

What does N mean? I really dont understand math at all. Btw thanks for the help so far

OpenStudy (anonymous):

I got 20 for line SR

OpenStudy (amistre64):

n is just a variable i used to indicate a scaling factor. if you know the area of one of the triangles, and you can determine the scaling factor for the similar triangles; you can proportion out the areas as well

OpenStudy (anonymous):

Ok. So I need to break the triangle up into two different triangles?

OpenStudy (amistre64):

|dw:1362360114357:dw|

OpenStudy (amistre64):

area LMN = area LQP time n^2 such the 10n=25, n=2.5

OpenStudy (anonymous):

Ok. Let me find the area of the small triangle

OpenStudy (anonymous):

I got 200

OpenStudy (anonymous):

And then divide by 2 so 100

OpenStudy (amistre64):

for the top? Area LQP = QP*LS/2 = 10*8/2 = 40 for the top

OpenStudy (amistre64):

|dw:1362360441583:dw|

OpenStudy (anonymous):

Oh I did 25*8

OpenStudy (anonymous):

Then what is our next step

OpenStudy (amistre64):

|dw:1362360503194:dw|

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