Gabylovesyou
  • Gabylovesyou
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. @ganeshie8
Geometry
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Gabylovesyou
  • Gabylovesyou
what formula should be used to find this ?
Gabylovesyou
  • Gabylovesyou
@dumbcow
hoblos
  • hoblos
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

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Gabylovesyou
  • Gabylovesyou
using the slope formula ?
hoblos
  • hoblos
|dw:1396980676890:dw| Pythagoras theorem : c^2 = a^2 + b^2
Gabylovesyou
  • Gabylovesyou
its an equilateral triangle
hoblos
  • hoblos
all the sides are equal ?
Gabylovesyou
  • Gabylovesyou
wait no i think its a right ;/ idk ..
hoblos
  • hoblos
do you know how to calculate the distance between two points ?
Gabylovesyou
  • Gabylovesyou
yes
hoblos
  • hoblos
so calculate AB=? AC=? BC=?
Gabylovesyou
  • Gabylovesyou
AB - 13 BC - 13 CA - 26
Gabylovesyou
  • Gabylovesyou
so its a right ?
hoblos
  • hoblos
they are actually AB = √13 BC = √13 CA = √26 right ?
Gabylovesyou
  • Gabylovesyou
yea
hoblos
  • hoblos
so let's see if it's right is CA^2 = AB^2 + BC^2 ?
Gabylovesyou
  • Gabylovesyou
no
phi
  • phi
I would plot it. If the choice is either equilateral or right triangle, you can tell by eyeball
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Gabylovesyou
  • Gabylovesyou
jk yes haha
hoblos
  • hoblos
CA^2 = ?
Gabylovesyou
  • Gabylovesyou
26 and @phi looks like a right
phi
  • phi
If you want to prove it, find the lengths if each side and show pythagoras works or find the slope of the two lines that form the right angle and see if the slopes are negative reciprocals
Gabylovesyou
  • Gabylovesyou
which r the two lines that form the right angle?
phi
  • phi
lines AB and BC
Gabylovesyou
  • Gabylovesyou
the slopes dont match -1.5 and 0.66666667
phi
  • phi
-3/2 and ⅔ it's easier to see if you multiply one by -1 and then flip it, you get the other *negative reciprocals*
phi
  • phi
which means the lines are perpendicular (form a 90º angle) so you have proven its a right triangle.

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