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1) In triangle $XYZ,$ $M$ is the midpoint of $\overline{XY}.$ Let $D$ be the point on $\overline{YZ}$ such that $\overline{XD}$ bisects $\angle YXZ,$ and let the perpendicular bisector of $\overline{XY}$ intersect $\overline{XD}$ at $P.$ If $XY = 36$ and $MP = 9,$ then find the distance from $P$ to line $XZ.$

 

2) In triangle  ABC, AB=BC=17 and AC=16 Find the circumradius of triangle ABC

 Dec 3, 2019
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1) The distance is sqrt(27^2 - 9^2) = 18*sqrt(2).

 

2) From the formula R = abc/(4K), the circumradius is R = 17/2.

 Dec 3, 2019

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