geometry

[stuck musk]

In the figure below, points A, D and E belong to the larger circle and points A and B are the ends of the diameter of the smaller circle. Knowing that the diameter of the smaller circle measures 5cm and that the diameter of the larger circle measures 20cm, Whats The measure of The square side?

[near reef]

let s be the length of a side.
If the large circle is centered at the origin O,

|EO| = 10 cm

E = [s-5,s/2] //because B is at [5-10, 0]

then we do some algebra

[stuck musk]

I dont get it

S-5?

Oh ok

I think i see

4+2sqrt(19)?

[near reef]

if B is at [-5,0], E's x coordinate is s-5

[stuck musk]

Like that now

And then l= 4+2sqrt(19)

[near reef]

looks good

[stuck musk]

Ok

Thanks so much

[near reef]

L/2 should be labeled better though

but its hard to write with a mouse

[stuck musk]

Ye hahaha

[near reef]

with problems like this, its often best to just start writing down what we know and the answer just pops out

[near reef]

❤️

[stuck musk]

Ye true

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