Circles
Incentre and Excentres
Grade 11
Question:
<p>In a Δ ABC; if (II₁)² + (I₂I₃)² = <i>l</i>R², where I denotes incentre; I₁, I₂ and I₃ denote centres of the circles escribed to the sides BC, CA and AB respectively and R be the radius of the circumcircle of Δ ABC. Find <i>l</i>.</p>
Step-by-Step Solution
Key Concept: Use properties of incentre and excentres relating distances to circumradius.
<p>Answer: 16</p>
Correct Answer: 16