{"status": "success", "data": {"description_md": "A sphere with center $O$ has radius $6$. A triangle with sides of length $15$, $15$, and $24$ is situated in space so that each of its sides are tangent to the sphere. What is the distance between $O$ and the plane determined by the triangle?\n\n$\\textbf{(A) } 2\\sqrt{3} \\qquad \\textbf{(B) }4 \\qquad \\textbf{(C) } 3\\sqrt{2} \\qquad \\textbf{(D) } 2\\sqrt{5} \\qquad \\textbf{(E) } 5$", "description_html": "<p>A sphere with center <span class=\"katex--inline\">O</span> has radius <span class=\"katex--inline\">6</span>. A triangle with sides of length <span class=\"katex--inline\">15</span>, <span class=\"katex--inline\">15</span>, and <span class=\"katex--inline\">24</span> is situated in space so that each of its sides are tangent to the sphere. What is the distance between <span class=\"katex--inline\">O</span> and the plane determined by the triangle?</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A) } 2\\sqrt{3} \\qquad \\textbf{(B) }4 \\qquad \\textbf{(C) } 3\\sqrt{2} \\qquad \\textbf{(D) } 2\\sqrt{5} \\qquad \\textbf{(E) } 5</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "2019 AMC 10A Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/19_amc10A_p22", "prev": "/problem/19_amc10A_p20"}}