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Mathematics 18 Online
hardlyhuman:

Geometry help, please!!!! @Shadow

hardlyhuman:

1 attachment
Shadow:

Just searching for le formula

hardlyhuman:

Okay, thank you

Shadow:

@Vocaloid How would you do this one?

Shadow:

Cause here's what I'm tempted to do. A and S make the diameter. Thus arc ARS is 180 degrees. So AR + RB + BS = 180 We have AR and RB. We solve for BS algebraically.

Shadow:

Then to solve for RS, we just do RB + BS.

hardlyhuman:

seems simple-ish enough

Shadow:

But hold the phone.

hardlyhuman:

*holds phone*

Shadow:

Okay. We're going to do something Vocaloid suggested. My brain is KFC basically so I'm going to copy and paste she wrote, and what I wrote. This idea follows the logic of "arcs AR and BS are equal on account of the chords being equal " - Vocaloid Thus you would do: \[AR + RB = RB + BS\]

hardlyhuman:

okay, lemme get the numbers

hardlyhuman:

AR(55) + RB(66) + AB (8) + RS(8) =137

Shadow:

What

Shadow:

Arc lengths

Shadow:

Don't add arc lengths and chords. Just the arc lengths.

hardlyhuman:

okay AR(55) + RB(66) = RB(66) + BS(?)

Shadow:

Yes

Shadow:

Once you get BS, you can add it to RB and get RS

hardlyhuman:

and how would i get the length of bs?

Shadow:

\[55 + 66 = 66 + BS\] Solve for BS

hardlyhuman:

okay

hardlyhuman:

55+66=121

Shadow:

Okay, and then what do you do

hardlyhuman:

66+BS

Shadow:

^which is equal to

hardlyhuman:

59?

hardlyhuman:

is that wrong?

Shadow:

How did you get 59

hardlyhuman:

I added together the measurments for the arcs and subtracted what i had from 180, which was probably wrong.

Shadow:

AR + RB = RB + BS 55 + 66 = 66 + BS 121 = 66 + BS BS = 55 Just shy of 180, so glad we didn't do my idea RB + BS 66 + 55 = 121

hardlyhuman:

i was close XD

hardlyhuman:

so what do we do now?

Shadow:

We're done. Review what I wrote.

hardlyhuman:

okay, thanks

hardlyhuman:

both sides equal 121

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