Engineering Board Exam Reviewer · Triangles · hard
Triangle ABC is isosceles with AB=AC=10 and BC=12. Find the distance between its incenter and circumcenter.
- 3.25
- 1.25
- 2
- 4
Answer
B. 1.25
Solution
Area = 12(12)(8)=48. R=abc/4A=10(10)(12)/192=6.25 and r=A/s=48/16=3. By Euler's formula, d2=R(R-2r)=6.25(0.25)=1.5625, so d=1.25.
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