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Question

Mathematics Question on Three Dimensional Geometry

ABC is an isosceles triangle with an inscribed circle with center O. Let P be the midpoint of BC. If AB=AC=15 and BC=10,then OP equals

A

52\frac{\sqrt5}{\sqrt2} unit

B

52\frac{5}{\sqrt2} unit

C

25\frac{2}{\sqrt5} unit

D

525\sqrt2 unit

Answer

52\frac{5}{\sqrt2} unit

Explanation

Solution

The correct answer is option (B) : 52\frac{5}{\sqrt2} unit.