091-right-triangles-with-integer-coordinates.ipynb

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    "# Right triangles with integer coordinates\n",
    "## Problem 91 \n",
    "\n",
    "<div class=\"problem_content\" role=\"problem\">\n",
    "<p>The points P (<i>x</i><sub>1</sub>, <i>y</i><sub>1</sub>) and Q (<i>x</i><sub>2</sub>, <i>y</i><sub>2</sub>) are plotted at integer co-ordinates and are joined to the origin, O(0,0), to form &#916;OPQ.</p>\n",
    "<div style=\"text-align:center;\">\n",
    "<img alt=\"\" src=\"project/images/p091_1.gif\"/><br/></div>\n",
    "<p>There are exactly fourteen triangles containing a right angle that can be formed when each co-ordinate lies between 0 and 2 inclusive; that is,<br/>0 &#8804; <i>x</i><sub>1</sub>, <i>y</i><sub>1</sub>, <i>x</i><sub>2</sub>, <i>y</i><sub>2</sub> &#8804; 2.</p>\n",
    "<div style=\"text-align:center;\">\n",
    "<img alt=\"\" src=\"project/images/p091_2.gif\"/><br/></div>\n",
    "<p>Given that 0 &#8804; <i>x</i><sub>1</sub>, <i>y</i><sub>1</sub>, <i>x</i><sub>2</sub>, <i>y</i><sub>2</sub> &#8804; 50, how many right triangles can be formed?</p>\n",
    "</div>"
   ]
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   "execution_count": null,
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   "source": [
    "def solve():\n",
    "    # Your code here\n",
    "    \n"
   ]
  },
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   "cell_type": "markdown",
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   "source": [
    "## Solution"
   ]
  },
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   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "solve()"
   ]
  }
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