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Mathematics 21 Online
OpenStudy (anonymous):

I need help on theses questions

OpenStudy (anonymous):

OpenStudy (anonymous):

whats that../

OpenStudy (anonymous):

okay so for the first question in the picture I think its a scalene triangle and to find the perimeter for the triangle do i have to find the mid point to all the sides ?

OpenStudy (anonymous):

no..just find the lengths of all sides and sum up all..its for perimetre..

OpenStudy (anonymous):

can you help me find the perimeter ?

OpenStudy (anonymous):

and answer the rest of the questions ?

OpenStudy (anonymous):

to find AB BC CA use distance formula..as this.. \[d=\sqrt{(x2-x1)^2+(y2-y1)^2}\] for all use this..

OpenStudy (anonymous):

okay I'm going to find the distance for them give me a second

OpenStudy (anonymous):

for the distance ab i got 0 i think i did something wrong lol

OpenStudy (anonymous):

ummm show your work..

OpenStudy (anonymous):

AB=2sqrt10 how you get zero..??

OpenStudy (anonymous):

idk lol

OpenStudy (anonymous):

\[D = \sqrt{(10 - 0) + ( 0-10)}\]

OpenStudy (anonymous):

im guessing thats wrong

OpenStudy (anonymous):

sorry I'm really bad at math

OpenStudy (anonymous):

see.. AB=d=sqrt{(0-10)^2+(0-10)^2} =>AB=d=sqrt{100+100} =>AB=d=sqrt200 =>AB=sqrt2*100 =>AB=10sqrt2

OpenStudy (anonymous):

it also has square at (10-0)^2 and (0-10)^2

OpenStudy (anonymous):

oh lol

OpenStudy (anonymous):

now do it..!!!

OpenStudy (anonymous):

\[D=\sqrt{(-5 - 10)^2 + (5 - 10)^2}\]

OpenStudy (anonymous):

did i write that one correctly for BC

OpenStudy (anonymous):

yeeppp..xactly..

OpenStudy (anonymous):

\[D= \sqrt{(-15)^2 +(-5)^2}\]

OpenStudy (anonymous):

right...

OpenStudy (anonymous):

\[D=\sqrt{(225) + (25)}\]

OpenStudy (anonymous):

right..

OpenStudy (anonymous):

\[D=\sqrt{255}\]

OpenStudy (anonymous):

no...add again...

OpenStudy (anonymous):

\[D=\sqrt{250}\]

OpenStudy (anonymous):

yes..now.???

OpenStudy (anonymous):

what do i do know?

OpenStudy (anonymous):

now*

OpenStudy (anonymous):

now sqrt250=5sqrt10 okay..???you have to write it as this.. \[5\sqrt{10}\]

OpenStudy (anonymous):

now find CA similar way and then proceed..

OpenStudy (anonymous):

\[D=\sqrt{(0-(-5)^2 + (0-5)^2}\]

OpenStudy (anonymous):

right...

OpenStudy (anonymous):

\[D=\sqrt{(5)^2 +(-5)^2}\]

OpenStudy (anonymous):

right..

OpenStudy (anonymous):

\[D=\sqrt{(25) + (25)}\]

OpenStudy (anonymous):

\[D=\sqrt{50}\]

OpenStudy (anonymous):

is that right

OpenStudy (anonymous):

yes now write it as.. \[\sqrt{50}=5\sqrt{2}\]

OpenStudy (anonymous):

now find perimeter by just adding them..!!!all the three distances..

OpenStudy (anonymous):

how do i write the one for BC it was 250

OpenStudy (anonymous):

sqrt{250}=5sqrt10

OpenStudy (anonymous):

ok so it would be \[Perimeter = 10\sqrt{2} + 5 \sqrt{10} + 5 \sqrt{2}\]

OpenStudy (anonymous):

=\[=15\sqrt{2}+5\sqrt{10}\]

OpenStudy (anonymous):

how do i add it with the sqrt ? sorry I'm really bad at this

OpenStudy (anonymous):

okay..??

OpenStudy (anonymous):

\[10\sqrt{2}+5\sqrt{2}=(10+5)\sqrt{2}=15\sqrt{2}\]

OpenStudy (anonymous):

Aren't I suppose to add all sides why just 2

OpenStudy (anonymous):

coz rest term has sqrt{10} which can not be taken as common as we take sqrt{2} from both...

OpenStudy (anonymous):

oh lol

OpenStudy (anonymous):

i dont understand though what would be the perimeter than

OpenStudy (anonymous):

it the perimeter that you get ..the sum of all sides is called perimeter..

OpenStudy (anonymous):

so i would add \[10 \sqrt{2}\]

OpenStudy (anonymous):

to 15sqrt 2

OpenStudy (anonymous):

yes you can..

OpenStudy (anonymous):

come at skype..i will tell you there how to do..!!all.

OpenStudy (anonymous):

\[15\sqrt{2} +10\sqrt{2}\]

OpenStudy (anonymous):

\[25\sqrt{4}\]

OpenStudy (anonymous):

??

OpenStudy (anonymous):

no its 25sqrt2

OpenStudy (anonymous):

oh lol so is that the perimeter

OpenStudy (anonymous):

yes..iti is..

OpenStudy (anonymous):

now to prove it right triangle.. use this.. (BC)^2=(AC)^2+(AB)^2 if it satisfies then it is right triangle..if not then it is not a right triangle..

OpenStudy (anonymous):

it is phythagoras's thorem...used for right triangles..

OpenStudy (anonymous):

my brother said its \[(16)^2 + (15)^2 + (7)^2\]

OpenStudy (anonymous):

is that correct

OpenStudy (anonymous):

??

OpenStudy (anonymous):

@zaibali.qasmi

OpenStudy (anonymous):

no...use that values you get in step I for AB BC and CA..in above which i tell you..

OpenStudy (anonymous):

\[5\sqrt{10}^2 + 5\sqrt{2}^2 +10\sqrt{2}^2\]

OpenStudy (anonymous):

is that correct

OpenStudy (anonymous):

sorry I'm so bad at this

OpenStudy (anonymous):

yes..but write it inn clear...as.. i write it as. bc^2=ac^2+ab^2 see it carefully and plug in values..

OpenStudy (anonymous):

im confused

OpenStudy (anonymous):

to what..??

OpenStudy (anonymous):

see AB=10sqrt2 BC=5sqrt10 CA=5sqrt2 now {5sqrt10}^2={10sqrt2}^2+{5sqrt2}^2 =>25*10=100*2+25*2 =>250=200+50 =>250=250 this shows that it is a right triangle...

OpenStudy (anonymous):

now to find the simply multiply AC and AB...

OpenStudy (anonymous):

to find area///just multiply AC and AB

OpenStudy (anonymous):

okay thank you so is ac still 5 sqrt 2 and ab 10 sqrt 2 and and i would just multiply them

OpenStudy (anonymous):

@zaibali.qasmi

OpenStudy (anonymous):

yes...

OpenStudy (anonymous):

???

OpenStudy (anonymous):

AC and AB have still same values and you just have to multiply them..

OpenStudy (anonymous):

so it would be 25 * 200 ?

OpenStudy (anonymous):

??

OpenStudy (anonymous):

@zaibali.qasmi

OpenStudy (anonymous):

no.. AB=10sqrt2 AC=5sqrt2 so AB*AC=10sqrt2*5sqrt2=50*2=100

OpenStudy (anonymous):

so the area is 100

OpenStudy (anonymous):

?

OpenStudy (anonymous):

yes,,,

OpenStudy (anonymous):

now how do i find the slope of bc

OpenStudy (anonymous):

?

OpenStudy (anonymous):

to find the slope of BC use this.. m=\[m=\frac{ y2-y1 }{ x2-x1 }\] here m is slope...

OpenStudy (anonymous):

okay so it would be \[M = 5 - 10 \over -5 - 10\]

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