Question

I just need someone to check :/

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 1

This is my answer

R(2, 3) & T(5, 0)

m= y2-y1 / x2-x1
m= 0-3 / 5-2
m= -3 /3 = -1

S(4, 4) & T(5, 0)

m= y2-y1 / x2-x1
m= 0-4 / 5-4
m= -4 / 1

This is not a right triangle

Answer 2

@IMStuck @ParthKohli @ganeshie8 @Ankh @iambatman

Answer 3

What do you think ? o:

Answer 4

You found the slopes of ST and RT, how did they help you prove it's not a right triangle?

Answer 5

they are not opposite reciprocals

Answer 6

True, but what about RS?

Answer 7

What if it's opposite to SR and RT?

Answer 8

When you're given coordinates it's recommended you plot them to get a visual perspective on the shape.

Answer 9

RS = 1/2

Answer 10

When you do a quick sketch you can see that there's no way 90 degrees would fit between ST and RT.
The other two angles are questionable though, so you need the slope of RS as well.

Answer 11

Once you find all 3 slopes, only then you can say that none of them are opposite reciprocals.

Answer 12

Mhmmm. so all i have to add to my answer is that. if i do a sketch of the coordinates, there is no 90 degree angle ?
or i have to add the slope of RS and

Answer 13

ohhhhh

Answer 14

so now i would put the slope of RS and write

This triangle is not a right triangle because it does not have opposite reciprocals ?

Answer 15

Yes, because out of the three slopes there is no pair that are opposite reciprocals.

Answer 16

Oooohh okkay thank you ^.^ can u help me in 1 more ?

Answer 17

The second part?

Answer 18

no, if you could help me in another question ?
i promise its just 1

Answer 19

Sure.