Question

Determine whether or not the triangle with vertices A(3, 5), B(1, 4), and C(6, 2) is a right triangle.

Answer 1

Have you plotted the points yet?

Answer 2

I made a rough sketch

Answer 3

You need a precise sketch using graph paper. And when you create those points, draw lines connecting them to form a triangle. Then count the length of the sides and test to make sure pythagorean theorem works. When you do that, you will have shown whether or not the vertices form a right triangle.

Answer 4

It HAS to be drawn?

Answer 5

lol, just use the distance formula

Answer 6

:P Whats the distance formula?

Answer 7

So to summarize, the steps are to

1. Plot the points
2. Connect the points to form a triangle
3. Use pythagorean theorem to verify the right triangle.
4. Doesn't HAVE to be drawn to do this.

Answer 8

But it is easier when you draw

Answer 9

Yea, from my drawing, I can deduce that it does not look like a right angle triangle :P

Answer 10

drawing cannot be precise you have to use graph paper; just use the distance formula

Answer 11

WHATS THE DISTANCE FORMULA?

Answer 12

The distance formula is just a variation of the pythagorean theorem

Answer 13

Hmm... So how can I answer this question without drawing because I dont have any graph paper

Answer 14

Instead of a^2 + b^2 = c^2, you have a^2 + b^2 = d^2 and you solve for d

Answer 15

\[\large d= \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \]

Answer 16

except for a = (x_2 -x_1) and b = (y_2 - y_1)

Answer 17

not necessarily just find the slopes if two are perp then you're good togo

Answer 18

Outkast ignores the part where it says "right triangle".

Answer 19

right triangle implies the use of pythagorean theorem

Answer 20

you can prove two slopes are perpendicular but that's only part of it.