“Teladoc Health Moves Headquarters to Marx Realty Tower from Westchester” # 2006 AMC 12B Problems/Problem 6. (Redirected from 2006 AMC 12B Problem 6) ## Problem. A circle of radius $r$ is inscribed in a right triangle with sides $3$, $4$, and $5$ so that the circle is tangent to both legs. What is the value of $r$? $\text {(A) } \frac{3}{2} \qquad \text {(B) } \frac{4}{3} \qquad \text {(C) } \frac{5}{4} \qquad \text {(D) } \frac{12}{5} \qquad \text {(E) } \frac{5}{2}$ ## Solution. [asy] unitsize(0.5cm); defaultpen(0.8); pair A=(0,0), B=(4,0), C=(4,3), D=(0,3), E=(4/5,3/5), F=(3,0), G=(0,4), H=(0,5), I=(3,4), J=(
Marx Realty has announced that Teladoc Health, a leading telemedicine company, will be expanding and extending its lease at 10