Geometry right triangles

[rachelmaddie]

I don’t know if I’m doing this correctly.

 

[lev888]

What formula are you using?

 

[pka]

I don’t know if I’m doing this correctly.View attachment 14043

\(\displaystyle Q: (7,-10)~\&~R: (-3,0)\) think number line.
What is the distance from \(\displaystyle 7\text{ to }-3~?\) Is it \(\displaystyle 10?\)
What is the distance from \(\displaystyle -10\text{ to }0~?\) Is it \(\displaystyle 10?\)
Square both of those \(\displaystyle \sqrt{100+100}=10\sqrt 2\)
Is that number \(\displaystyle QR?\)
Now use the same simple ideas to find \(\displaystyle QS~\&~RS\).
The take the largest of the three and square it. If that is the sum of the squares of the other two, the the triangle is right.

 

[rachelmaddie]

I’ve correct my mistake. 200 + 8 = 208

 

[Steven G]

7-10 is NOT 17 and 9-8 is not 17.
Beside to use the distance formula you do not subtract x-y but rather you subtract both x valus and both y values

 

[Steven G]

This is better. On the 2nd line of each distance please put a square root sign,, for example 100+100 does not equal 10sqrt(2) but rather sqrt(100 + 100) = 10sqrt(2)

Also 4+4 is not 12, it is 8.

After you make these changes how do you plan on using these distances to tell if you havr a right triangle?

 

[pka]

I’ve correct my mistake. 200 + 8 = 208

TO rachelmaddie: each time that I reply to one of your posts, I promise myself that it is the last if you do not have a revelation.
I have told you this before, I spent years counseling students who wanted to major in one of the mathematical sciences (that includes area in computer sciences). Many, many times I had to tell a student the s/he lacked the background knowledge necessary to do the courses.
However, our institution offered a full slate of preparatory courses. This gives a person a chance to become prepared to do the work.
You are in that position of not being prepare to do the material in these questions.
You seen to think that if you simply know a formula then that is all you need.
But that is completely wrong. If you do not understand what the formula means these it is useless.
No one has ever mastered mathematics, even at a minimal level, by simply learning formulas.
But you seem to think that you can do so. But you are mistaken.
You need to find an institution of higher learning that offer preparatory courses in mathematics. If you do finish the courses that advise for you then you will not be so frustrated by these questions. Otherwise, you are wasting alot of time.

 

[rachelmaddie]

\(\displaystyle Q: (7,-10)~\&~R: (-3,0)\) think number line.
What is the distance from \(\displaystyle 7\text{ to }-3~?\) Is it \(\displaystyle 10?\)
What is the distance from \(\displaystyle -10\text{ to }0~?\) Is it \(\displaystyle 10?\)
Square both of those \(\displaystyle \sqrt{100+100}=10\sqrt 2\)
Is that number \(\displaystyle QR?\)
Now use the same simple ideas to find \(\displaystyle QS~\&~RS\).
The take the largest of the three and square it. If that is the sum of the squares of the other two, the the triangle is right.

I am using distance formula. I only labeled it that way to know what points I’m calculating.