perplexus.info :: Geometry : Trigonometry with altitudes

Trigonometry with altitudes (Posted on 2023-07-09)

ABC is an acute triangle with circumcenter O and altitudes AD and BE.

If O lies on segment DE, find the value of sin(A)sin(B)sin(C).

No Solution Yet Submitted by Danish Ahmed Khan

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re: Something's missing?

Comment 3 of 3 |

(In reply to Something's missing? by Jer)

Have you confused the orthocenter with the circumcenter?

The orthocenter of a right triangle is the right angle, but the circumcenter is on the hypotenuse.

***

Maybe I'm the one that's confused as I am unsure what your construction looks like.

Edited on July 10, 2023, 11:08 am

Posted by Brian Smith on 2023-07-10 00:20:27

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