Right Triangle or not? How to put in an eqn? vertices A(4, 3), B(-6, 2), C(-5, 7)

[blueunicorn125]

[h=1]I am desperately needing help with the following 2 questions. You guys have been extremely helpful in the past so I thought I would ask again.

1. How do I determine if this is a right triangle or not? How do I put it into an equation?
There are 3 points ABC in the xy-plane have coordinates A(4, 3) B (-6, 2) C (-5, 7)[/h]



[h=1]2. A student has received 56, 70, 61 and 46 on his first four college algebra exams this semester. He asked the instructor what grade he would need to make on the fifth exam to pass the course. What score will he need to earn to receive 70% or higher on the fifth exam? Set up an equation/inequality and show all work and find the solution.[/h]

 

[Deleted member 4993]

I am desperately needing help with the following 2 questions. You guys have been extremely helpful in the past so I thought I would ask again.

1. How do I determine if this is a right triangle or not? How do I put it into an equation?
There are 3 points ABC in the xy-plane have coordinates A(4, 3) B (-6, 2) C (-5, 7)





2.

A student has received 56, 70, 61 and 46 on his first four college algebra exams this semester. He asked the instructor what grade he would need to make on the fifth exam to pass the course. What score will he need to earn to receive 70% or higher on the fifth exam? Set up an equation/inequality and show all work and find the solution.

1. How do I determine if this is a right triangle or not? How do I put it into an equation?
There are 3 points ABC in the xy-plane have coordinates A(4, 3) B (-6, 2) C (-5, 7)

Calculate the lengths of AB, BC and CA - then use Pythagoras's theorem to check for right angle.

A student has received 56, 70, 61 and 46 on his first four college algebra exams this semester. He asked the instructor what grade he would need to make on the fifth exam to pass the course. What score will he need to earn to receive 70% or higher on the fifth exam? Set up an equation/inequality and show all work and find the solution.

What is the total score of the student now?

What would be the total score 5 tests - if the average score needs to be 70%?

continue.....

 

[Dr.Peterson]

I am desperately needing help with the following 2 questions. You guys have been extremely helpful in the past so I thought I would ask again.

1. How do I determine if this is a right triangle or not? How do I put it into an equation?
There are 3 points ABC in the xy-plane have coordinates A(4, 3) B (-6, 2) C (-5, 7)

An alternative way to do this is to calculate the slope of each segment, and see if any two are perpendicular. This is often easier than calculating lengths.

 

[lookagain]

blueunicorn125 has made at least 4 threads/posts at this time without any work shown, and none of the helpers
prompted him/her to show it.

blueunicorn125, read this page, please:

https://www.freemathhelp.com/forum/threads/41536-Read-Before-Posting!!