Question

Someone please help?
Medal and Fan (:
If A = (1, 4) B = (3, 1) and C = (6, 3), classify the the following triangle as either equilateral or right. Type the word equilateral or right in the blank.

Answer 1

try calculating the length of the 3 sides
if they are equal, it would be equilateral
if not, you have to check if they apply Pythagoras theorem


Pythagorean theorem: \(\sf \color{red}{a^2+b^2=c^2}\)

Answer 2

OR you can plot it!

Answer 3

I plotted it. I'm just confused on where the numbers fall into place @abb0t

Answer 4

find the slope of the two lines that form the right angle and see if the slopes are negative reciprocals

Answer 5

plot it in a graph...and calculate d all sides in the graph..

Answer 6

I count the boxes?

Answer 7

yes.

Answer 8

Really? I literally just count the boxes in the shape? that would be my answer?

Answer 9

i don't think counting boxes works in this case
i think you need the distance formula

Answer 10

all 3 sides are equal???

Answer 11

distance between (1, 4) and (3, 1) is \(\sqrt{2^2+3^2}=\sqrt{13}\)

Answer 12

Its a right triangle. am I correct?

Answer 13

distance between (3, 1) and (6, 3) is \(\sqrt{3^2+2^2}=\sqrt{13}\) also

Answer 14

distance between (1,4) and (3,6) is \(\sqrt{2^2+2^2}=\sqrt{8}\)

Answer 15

so no, it is not equilateral

Answer 16

and no, it is not a right triangle either

Answer 17

if all 3 sides are equal den that is equilateral

Answer 18

I don't understand... it could only be those two answers.. it makes more sense for it to be right triangle because of how it looks on the graph..

Answer 19

are you saying that any triangle is either a right triangle or an equilateral triangle? that is certainly not the case
this one is neither

Answer 20

it is isosceles though, two sides are equal

Answer 21

it doesn't give me that option ):