{"status": "success", "data": {"description_md": "A right triangle $ABC$ with hypotenuse $AB$ has side $AC = 15$. Altitude $CH$ divides $AB$ into segments $AH$ and $HB$, with $HB = 16$. The area of $\\triangle ABC$ is\n\n<center><img class=\"problem-image\" src=\"/static/AHSME/1984/crops/84_ahsme_p17_fig.png\" alt=\"figure\" width=\"445\"></center>\n\n$\\text{(A)}\\ 120\\qquad\\text{(B)}\\ 144\\qquad\\text{(C)}\\ 150\\qquad\\text{(D)}\\ 216\\qquad\\text{(E)}\\ 144\\sqrt{5}$\n\n___\n\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.\n", "description_html": "<p>A right triangle <span class=\"katex--inline\">ABC</span> with hypotenuse <span class=\"katex--inline\">AB</span> has side <span class=\"katex--inline\">AC = 15</span>. Altitude <span class=\"katex--inline\">CH</span> divides <span class=\"katex--inline\">AB</span> into segments <span class=\"katex--inline\">AH</span> and <span class=\"katex--inline\">HB</span>, with <span class=\"katex--inline\">HB = 16</span>. The area of <span class=\"katex--inline\">\\triangle ABC</span> is</p>\n<center><img class=\"problem-image\" src=\"/static/AHSME/1984/crops/84_ahsme_p17_fig.png\" alt=\"figure\" width=\"445\"></center>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 120\\qquad\\text{(B)}\\ 144\\qquad\\text{(C)}\\ 150\\qquad\\text{(D)}\\ 216\\qquad\\text{(E)}\\ 144\\sqrt{5}</span></p>\n<hr>\n<p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "1984 AHSME Problem 17", "can_next": true, "can_prev": true, "nxt": "/problem/84_ahsme_p18", "prev": "/problem/84_ahsme_p16"}}