Nicole:
Classify the triangle based on side lengths 5, 12 and 13. right acute obtuse no triangle can be formed with given side lengths
Nicole:
@mhchen
Nicole:
@Hero
Nicole:
and why is that
Nicole:
@Gdeinward @Vocaloid any ideas>
Nicole:
@dude
justjm:
5, 12, and 13 is a Pythagorean triplet. hopefully that identifies your answer.
Nicole:
so right triangle?
justjm:
yup! However in the future, this will not always work. As a result, you must youse the Pythagorean Inequality Theorem, if you know what that is
Nicole:
@justjm
justjm:
Just plug 280 as area and base as 70 for a=1/2 bh
Nicole:
8?
justjm:
yeah
justjm:
So they're saying a side is congruent, and since they are parallel then they are alternate interior angles that are cut by a transversal. Then LK is shared. So it looks like SSA. is SSA ever true?
Nicole:
no
justjm:
so that should direct you to your answer
justjm:
By the way, I did geometry a while back so I might not be of best knowledge when it comes to euclidean triangle axioms and theorems.
Nicole:
so you're not 100% sure of this?
justjm:
Sorry it's SAS
justjm:
It's SAS guaranteed. Sorry I confused you with the SSA
Nicole:
its okay but its still false correct?
darkknight:
I did geometry last year
justjm:
no it's true because it's congruent by SAS
darkknight:
it is true
darkknight:
yes, SSS
darkknight:
are you in pre-calc.
Nicole:
Okay I see
justjm:
Took that last year buddy
Nicole:
oh so that is true?
justjm:
Yeah it's true due to SSS
darkknight:
what did I say?
Nicole:
Yes sorry I was confused for a second
darkknight:
SAS
darkknight:
it is SAS
darkknight:
no what am I saying. It is SSS
darkknight:
They share the same side and the other 2 sides are congruent
darkknight:
SSS
Nicole:
Yes okay thats why I paused for a second lmao
justjm:
Oh this is CPCTC isn't that what it's called?
Nicole:
I thought it is the last option
darkknight:
FDE is similar to CAB
Nicole:
not CBA?
darkknight:
nope
darkknight:
Take the second triangle and flip it so that B is on top and C is the furthest left. Now the triangles are lined up. It makes it easier
darkknight:
The first one, obviously
darkknight:
it is given that ABC is congruent to DEF and option 1 has everything in the right order
darkknight:
use the special right triangle rule
darkknight:
do you know it?
Nicole:
multiplying this length by the square root of 2?
Nicole:
to find the hypotenuse
darkknight:
yes
Nicole:
10 square root 2
darkknight:
I'm not sure you did it right, did you do 5 times sqrt 2 times sqrt 2?
Nicole:
I did \[5\sqrt{2}*2\]
darkknight:
yes it is 10, you said 10 times sqrt 2 before
Nicole:
yes because it is \[10\sqrt{2}\]
darkknight:
its not
darkknight:
plug 5√2(√2) into a calculator
darkknight:
(√2)^2=2, multiply by 5 you get 10!
Nicole:
omg see I told you im out of it today I forgot to put \[\sqrt{2}\]
Nicole:
sorry again
darkknight:
lol
darkknight:
try to do this one on your own
Nicole:
12.5?
Nicole:
since 25/2=12.5
darkknight:
yes
Nicole:
One face on a dice is an example of a regular polygon True False im not sure tbh
darkknight:
well yes it would be, when you look at a dice (cube or not) you see all sides that are regular. A regular polygon that has the same length sides and same angles
Nicole:
False?
darkknight:
check your theorms/postulates. Is there one that can prove this true?
Nicole:
well we automatically know because opposite sides are parallel, which does not show on the shape, which means....its true
darkknight:
it is true, not in that way. We have 2 angles that are congruent and the triangles share a side so what theorem/postulate shows this is true?
darkknight:
ASA
Nicole:
sorry my internet cut off but yes ASA
darkknight:
What grade r u in?
Nicole:
10th but taking geometry since im homeschooled and thats the only math im missing
darkknight:
I'm in 9th
Nicole:
basically im ahead but yeah
Nicole:
you're a smart 9th grader Mars
darkknight:
thx
Nicole:
wow I said a "curse" word and it turned into "mars" ight
Nicole:
and np
darkknight:
This should be easy. You know that the perimeter is 136. Set 2L+2W (length and width) equal to 136
Nicole:
isnt it 2(17)+2(x+3)=136 ?
darkknight:
yes, the equation is right
Nicole:
x=48
darkknight:
x=48
darkknight:
yes
darkknight:
I did that wrong
darkknight:
the area is 136. So (x+3)(17)=136. sorry about that
Nicole:
x=5
Nicole:
50?
Nicole:
is the answer? since when you plug 5 in it turns out that the answer is 50
darkknight:
yes
darkknight:
do the same thing as above
Nicole:
x=11
Nicole:
since (x+3)(17)=238 makes x equal to 11
Nicole:
correct?
mhchen:
Area = length x width Perimeter = length + length + width + width = 38 length = 10 10 + 10 + width + width = 38 width = (?)
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