## FLVSKidd one year ago Determine if triangle RST with coordinates R (3,4), S (5,5) and T (6,1) 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.

1. anonymous

find slope by formula $m=\frac{ y _{2}-y _{1} }{x _{2}-x _{1}}$ taking two points at a time and see if m1*m2=-1

2. FLVSKidd

So I have to figure out if all possibilities of those points when subtracted equal to -1?

3. anonymous

slope of RS $m _{1}=\frac{ 5-4 }{ 5-3 }=\frac{ 1 }{ 2 }$

4. anonymous

slope of RT $m _{2}=\frac{ 1-4 }{ 6-3 }=\frac{ -3 }{ 3 }=-1$

5. anonymous

slope of ST $m _{3}=\frac{ 1-5 }{ 6-5 }=\frac{ -4 }{ 1 }=-4$

6. FLVSKidd

Now I see what you mean. This was very helpful.

7. FLVSKidd

So I would say that RS and ST need to equal -1 for it to be a right triangle?

8. FLVSKidd

Am I right? I will give you best answer.

9. anonymous

product of any two should be -1 which is not the case so change co-ordinates of one point to make the product -1

10. FLVSKidd

Product of any two? Okay you saved me there. Thank you very much.

11. FLVSKidd

Can you help me with another one?

12. FLVSKidd

13. anonymous

14. anonymous

2. find the slopes of CB and FE

15. FLVSKidd

For line FE I got -4/-5 and for line CB I got -3/-4

16. FLVSKidd

How do I know if they are opposite and reciprocal?

17. anonymous

slope of FE $=\frac{ -4-(-1) }{ 5-1 }=\frac{ -3 }{ 4 }$ slope of CB $=\frac{ 5-1 }{ 4-1 }=\frac{ 4 }{ 3 }$