JIPMAT (QA) PYQs

An equilateral triangle $\mathrm{ABC}$ is inscribed in a circle of radius $20 \sqrt{3} \mathrm{~cm}$. What is the length of the side of the triangle ?

An equilateral triangle $A B C$ is inscribed in a circle of radius $20 \sqrt{3} \mathrm{~cm}$. The centroid of the triangle $A B C$ is at a distance $d$ from the vertex $A$. then $d$ is equal to ?

ABC is right angled triangle at C. Let BC = a, CA = b and AB = c and let p be the length of perpendicular from C on AB, then cp is equal to