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Mathematics 20 Online
OpenStudy (anonymous):

Can a triangle be drawn with the following angle measures? Why or why not? 45°, 55°, 65°? ___________________________________________ Can a triangle be drawn with the following side lengths? Why or why not? 2 cm, 11 cm, 8 cm

OpenStudy (anonymous):

@pooja195

OpenStudy (p0sitr0n):

to check the first, sum up all of the angles . if it does not give you 180 degrees, then it is not a triangle.

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

@P0sitr0n thank you What about the second one?

OpenStudy (anonymous):

@pooja195 do you know the answer for the second one? Can u help me find the answer?

OpenStudy (p0sitr0n):

this can be less trivial. you could check if this is a right angle triangle by simply looking if 2^2+8^2=11^2, (but this does not prove that it isnt a triangle just rejects the rigth angle triangle)

OpenStudy (anonymous):

@P0sitr0n I dont get it

OpenStudy (p0sitr0n):

you can also check if the sum of two sides is always greater than the other side

OpenStudy (anonymous):

I dont understand

OpenStudy (p0sitr0n):

so you test 2+11 >8 true 2+8> 11 false this is not a triangle

OpenStudy (anonymous):

I dont get it @P0sitr0n

OpenStudy (p0sitr0n):

you have to check if the sum of two sides is greater than the third side. take two sides at a time, sum them up, and check if this number is bigger than the third side if not, then this is not a triangle

OpenStudy (anonymous):

it is the called the pythagorean theorem. the formula is \[a ^{2}+b ^{2}=c ^{2}\]

OpenStudy (anonymous):

@P0sitr0n Thanks alot

OpenStudy (anonymous):

I finally understand it :)!

OpenStudy (anonymous):

Thanks @GretaKnows

OpenStudy (anonymous):

oops sorry you already got help. I didn't see the other answers. (my internet connection is slow)

OpenStudy (anonymous):

Oh Really? then... do you want to answer another question? @GretaKnows

OpenStudy (anonymous):

I think I now the answer but because of my eye vision im not sure

OpenStudy (anonymous):

let me post the question

OpenStudy (anonymous):

okay :)

OpenStudy (anonymous):

Are these two figures congruent? Why or why not?

OpenStudy (anonymous):

@GretaKnows

OpenStudy (anonymous):

i think that they are cong

OpenStudy (anonymous):

congruent*

OpenStudy (anonymous):

what do you think? @GretaKnows

OpenStudy (anonymous):

hello? @GretaKnows

OpenStudy (anonymous):

I think so too. Congruent means that they are the same or identical. these to figures look the same. so yes you are right.

OpenStudy (anonymous):

oh really? looks like im right!! yay!! thanks for your help

OpenStudy (anonymous):

@GretaKnows

OpenStudy (anonymous):

sure! anytime :) good job

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