- #1

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter BicycleTree
- Start date

- #1

- #2

AKG

Science Advisor

Homework Helper

- 2,565

- 4

[itex]\sqrt{2.3925} - 1.35 \approx 0.197[/itex]

- #3

- 516

- 0

sin((60-2*(90-arccos(.45)))/2) * 3^.5 * 2

- #4

AKG

Science Advisor

Homework Helper

- 2,565

- 4

= 2(sin(120)/sin(30))(sin(30)cos(Y/2) - cos(30)sin(Y/2))

= 2(3

= (3(1 - 0.45²))

= (2.3925)

Y is the small angle in the triangle the contains the blue line (the bottom angle). I didn't want to use any inverse trigonometric functions, so I used Pythogras' Theorem, Sine Law, and the angle addition formula for sine.

- #5

NateTG

Science Advisor

Homework Helper

- 2,450

- 6

[tex]2\sin^{-1}(.45)[/tex]

Moreover, it's not hard to see that the lenght from the center intersection to the edge of the red segment has length

[tex]\sqrt{3}[/tex]

That means that you can go with:

[tex]2\left(\sqrt{3} \sin\left(30-\sin^{-1}(.45)\right)\right)[/tex]

Which can easily be simplified using angle addition forumlas.

Share: