Question

Determine if triangle EST 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

Answer 1

@SolomonZelman

Answer 2

1) use the distance formula to find each of the sides.
2) do these sides fit into a²+b²=c² ?

Answer 3

Can u please help me do this I'm so confused

Answer 4

\(\LARGE\color{blue}{ \bf d= \sqrt{(y_1-y_2)^{2}+(x_1-x_2)^{2}} }\)

that is the distance formula.

Answer 5

Can you find each side using this formula ?

Answer 6

I don't know how to use the formula @SolomonZelman sorry

Answer 7

\(\LARGE\color{blue}{ \bf d= \sqrt{(y_1-y_2)^{2}+(x_1-x_2)^{2}} }\)

R(3,4) S(5,5)

RS=

\(\Large\color{blue}{ \bf RS= \sqrt{(4-5)^{2}+(3-5)^{2}}=\sqrt{(1)^{2}+(2)^{2}} }\)

\(\Large\color{blue}{ \bf RS= \sqrt{(1)^{2}+(2)^{2}}=\sqrt{1+2} =\sqrt{3} }\)

I found RS, can you find the remaining sides similarly ?

Answer 8

My bad

\[\sqrt{(1)^2+(-2)^2} =\sqrt{1+4} =\sqrt{5} \]

Answer 9

5-6)+5-1 not sure

Answer 10

(5,5) and T (6,1)

\[ST=\sqrt{ (5-1)^2+(5-6)^2}\]

Answer 11

See how I am plugging the points in ?

Answer 12

Ya but still sort of confuse

Answer 13

Can you simplify the square root of what I wrote ?

Answer 14

I don't know if this is right but I got 2.34

Answer 15

@SolomonZelman

Answer 16

don't simplify the root, tell me what you get in terms of square root, and simplify the result as much as possible.

Answer 17

the 6 can become a 3 @SolomonZelman

Answer 18

I don;t get what you are saying right now

Answer 19

From St= (5-1)^2+(5-6)^2 the 6 could be simplified to a 3

Answer 20

@SolomonZelman

Answer 21

Please help so confused