circle question in my homework

[ember wasp]

Hello I I’m stuck on a circle question on my homework it wants to calculate area of a triangle using the tangent

[solemn apex]

1. Wait patiently for a helper to come along.
2. Once someone helps you, say thank you and close the thread with:

+close

3. Feel free to nominate the person for helper of the week in #helper-nominations
4. Do not ping the mods, unless someone is breaking the rules.
5. If you're happy with the help you got here, and the server overall, you can contribute financially as well:

[ember wasp]

I’ve managed to get that the radius is sqrt 117

But that’s all

Please ping me as I have discord notis off

It doesn’t give any coordinates of O or N

[vocal sonnet]

O is your origin so it's coordinates is (0,0)

and since N is on the x axis

it's coordinates be (x,0)

to find that x

first you'll have to find the equation of the line MO

[ember wasp]

How do you know 0 is the origin

[ember wasp]

The gradient of OM is -3 I’m pretty sure if the centre of 0,0

So gradient of NM is 1/3

[vocal sonnet]

no it's -3/2

it's -3/2

[ember wasp]

Oop

[vocal sonnet]

m= y2-y1/x2-x1

use this formula for gradient

[ember wasp]

Yea I used that

Probably fucked it up again

[vocal sonnet]

lmao anyway

So MN's gradient will be 2/3

[ember wasp]

Then I have the equation of that line but how does that help me find the area

[vocal sonnet]

im getting there

[vocal sonnet]

plug in the value of the gradient in y-y1=m(x-x1)

this will give u MN's equation

[ember wasp]

OHHHHHHHHHHHHHHHHHHH

[vocal sonnet]

then represent MN's equation in y=mx+c form

where c = x intercept

so from that u get N's coordinate

you're understanding what I'm saying or am I being too quick?

[ember wasp]

I’m understanding it

[vocal sonnet]

good good

[ember wasp]

Just kicking myself lol

[vocal sonnet]

lmao

[ember wasp]

I don’t have any paper on me so can’t figure it out rn but will later

[vocal sonnet]

okay and one more thing

use the distance formula to find the length of MN and OM

then calculate the area

[ember wasp]

Yup

It’s the y-y1 =m(x-x1) I forgot about entirely

And didn’t know if O was 0,0 or not

[vocal sonnet]

yeahh

O in general always represents the origin

[ember wasp]

I just didn’t know lol

[vocal sonnet]

now you do, good luck man

[ember wasp]

Thankyou so much

[ember wasp]

+close