{"status": "success", "data": {"description_md": "Right triangles $T_1$ and $T_2$ have areas 1 and 2, respectively. A side of $T_1$ is congruent to a side of $T_2$, and a different side of $T_1$ is congruent to a different side of $T_2$. What is the square of the product of the other (third) sides of $T_1$ and $T_2$?\n\n$\\textbf{(A) } \\frac{28}{3} \\qquad\\textbf{(B) }10\\qquad\\textbf{(C) } \\frac{32}{3} \\qquad\\textbf{(D) } \\frac{34}{3} \\qquad\\textbf{(E) }12$", "description_html": "<p>Right triangles  <span class=\"katex--inline\">T_1</span>  and  <span class=\"katex--inline\">T_2</span>  have areas 1 and 2, respectively. A side of  <span class=\"katex--inline\">T_1</span>  is congruent to a side of  <span class=\"katex--inline\">T_2</span> , and a different side of  <span class=\"katex--inline\">T_1</span>  is congruent to a different side of  <span class=\"katex--inline\">T_2</span> . What is the square of the product of the other (third) sides of  <span class=\"katex--inline\">T_1</span>  and  <span class=\"katex--inline\">T_2</span> ?</p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } \\frac{28}{3} \\qquad\\textbf{(B) }10\\qquad\\textbf{(C) } \\frac{32}{3} \\qquad\\textbf{(D) } \\frac{34}{3} \\qquad\\textbf{(E) }12</span> </p>\n<hr><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>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2019 AMC 10B Problem 15", "can_next": true, "can_prev": true, "nxt": "/problem/19_amc10B_p16", "prev": "/problem/19_amc10B_p14"}}