{"status": "success", "data": {"description_md": "**POTD April 21, 2024**\n\nThe diagonals of convex quadrilateral $BSCT$ meet at the midpoint $M$ of $\\overline{ST}$. Lines $BT$ and $SC$ meet at $A$, and $AB = 91$, $BC = 98$, and $CA = 105$. Given that $\\overline{AM} \\perp \\overline{BC}$, find the positive difference between the areas of $\\triangle SMC$ and $\\triangle BMT$.", "description_html": "<p><strong>POTD April 21, 2024</strong></p>&#10;<p>The diagonals of convex quadrilateral <span class=\"katex--inline\">BSCT</span> meet at the midpoint <span class=\"katex--inline\">M</span> of <span class=\"katex--inline\">\\overline{ST}</span>. Lines <span class=\"katex--inline\">BT</span> and <span class=\"katex--inline\">SC</span> meet at <span class=\"katex--inline\">A</span>, and <span class=\"katex--inline\">AB = 91</span>, <span class=\"katex--inline\">BC = 98</span>, and <span class=\"katex--inline\">CA = 105</span>. Given that <span class=\"katex--inline\">\\overline{AM} \\perp \\overline{BC}</span>, find the positive difference between the areas of <span class=\"katex--inline\">\\triangle SMC</span> and <span class=\"katex--inline\">\\triangle BMT</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "Problem of the Day #133", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}