A Triangle and Two Circles
A circle of radius R is circumscribed around an isosceles triangle of
height h and base b. The triangle is circumscribed around a unit
circle (radius = 1).
An isosceles triangle has two sides equal in length, with the third
side called the "base"; for this problem, the height is measured
perpendicular to the base. To be circumscribed means that each circle
touches the triangle in three places.
Find b in terms of h.
Find R in terms of h. If h=4, find R.
Find h such that the base of the triangle is the diameter of the large
Find h in terms of R. If R=4, find h.
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