Use the angles sum of a triangle theorem and the linear pair theorem to prove the following result:

If triangle ABC is a right triangle with right angle at C and O is the midpoint of AB, then angle BOC = 2 * angle BAC.

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- Sep 14th 2010, 09:12 PMMATNTRNGcentral angle theorem
Use the angles sum of a triangle theorem and the linear pair theorem to prove the following result:

If triangle ABC is a right triangle with right angle at C and O is the midpoint of AB, then angle BOC = 2 * angle BAC. - Sep 15th 2010, 05:22 AMSoroban
Hello, MATNTRNG!

Quote:

I have my own proof of this . . .Code:`A o`

* * r

* @ *

* * O

* o

* * 2@* r

* @ * r *

* * *

C o * * * o B

Right triangle can be inscribed in a semicircle.

. . is the center of the circle

. . and are radii of the circle.

Hence, is isosceles and

is an exterior angle of .

. . Hence: .

Therefore: .