perplexus.info :: Geometry : Inscribed Triangle

Inscribed Triangle (Posted on 2005-05-07)

Triangle ABC, with obtuse angle B, is inscribed in a circle. Altitude CH of the triangle is tangent to the circle. If AB=8 and BH=10, find the radius of the circle.

Submitted by Jer

Rating: 3.0000 (2 votes)

Solution: (Hide)

Let O be the center of the circle. Triangle AOB is an isosceles triangle with vertex O. Construct altitude OX. OCHX is a rectangle. XB=4 so XH=OC=14.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
answer	K Sengupta	2007-05-11 14:46:26
Solution	TomM	2005-05-07 20:02:01
re: No Subject -- yes	Charlie	2005-05-07 19:53:17
No Subject	jim	2005-05-07 17:45:13

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