Question

Please explain. thank you! medal for best answer!
Is triangle ABC scalene, isosceles, or equilateral? The vertices are A(0 , 1), B(4 , 4), and C(7 , 0).

Answer 1

@phi

Answer 2

@Callisto

Answer 3

@undeadknight26

Answer 4

did you plot the points ?

Answer 5

no- i didnt kno if there was an easier way to do this

Answer 6

i dont have any graph paper either

Answer 7

just a sketch to see what it looks like.
If it looks (roughly) like some of the sides might be equal, check using the distance formula

Answer 8

it looks like a diagonal line

Answer 9

If you plot the 3 points, you will get a triangle.

Answer 10

oh i see wat i did wrong- so how do u tell which it is?

Answer 11

im guessing isosceles

Answer 12

its definitly no equilateral

Answer 13

it looks like two sides are equal though

Answer 14

Here is what it looks like
It is clear (to me) that side AB is shorter than AC
so yes, not equilateral.
but AB and BC look suspiciously close in length.
we could check by using the distance formula

Answer 15

yeah- two sides are equal- that means its isosceles right?

Answer 16

I'll do side BC and you can do side AB

B is at (4,4)
C is at (7,0)
\[ \sqrt{ (x_2-x_1)^2 + (y_2-y_1)^2 }\\
\sqrt{ (7-4)^2 + (0-4)^2 }\\
\sqrt{9+16} = \sqrt{25}= 5
\]

Answer 17

yes, triangle ABC is isosceles

Answer 18

can i tag u in another question?

Answer 19

yes