Question

CHECK ANSWER ONLY
Determine if triangle RST with coordinates R (2, 3), S (4, 4), and T (5, 0) is a right triangle. Use evidence to support your claim. If it is not a right triangle, what changes can be made to make it a right triangle? Be specific.

Answer below:
This is not a right triangle. After I checked the slopes, they came out to be all different, which was classified as an isosceles triangle! For it to be a right triangle, it must have the same slopes and of course the right angle.

Answer 1

Can you find the slope between two points of given coordinates?

Answer 2

The formula to be used is
\[slope = \frac{y_2-y_1}{x_2-x_1}\]

Answer 3

Yes, it is 1/2

Answer 4

@mathmate

Answer 5

Yes, this is the slope between R and S (slope=s1)
You will need to do the same between R and T (s2) and S and T (s3).

Answer 6

For RT, I got -1 and ST, I got -4

Answer 7

Now you need to check if the sides are perpendicular.

Answer 8

And how do I do that?

Answer 9

You would choose the slopes of two sides, multiply them together.
If the product is -1, the two sides are perpendicular.

Answer 10

So, none of the sides are perpendicular then.

Answer 11

Exactly!

Answer 12

Alright! So I should include that in my response, correct?

Answer 13

Yes, explain what you did, and what you found.

Answer 14

Sounds good, thank you!

Answer 15

You're welcome!