How many triangles are there with all three sides being integers and the longest side being 11?
三边均为整数，且最长边为11的三角形有多少个．
<gadget id="calculator">11 - 1</gadget>
<output>10</output>

<gadget id="calculator">11 - 10</gadget>
<output>1</output>

<gadget id="calculator">11 - 2</gadget>
<output>9</output>

<gadget id="calculator">11 - 9</gadget>
<output>2</output>

<gadget id="calculator">11 - 3</gadget>
<output>8</output>

<gadget id="calculator">11 - 8</gadget>
<output>3</output>

<gadget id="calculator">11 - 4</gadget>
<output>7</output>

<gadget id="calculator">11 - 7</gadget>
<output>4</output>

<gadget id="calculator">11 - 5</gadget>
<output>6</output>

<gadget id="calculator">11 - 6</gadget>
<output>5</output>

<gadget id="calculator">1 + 2 + 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 1</gadget>
<output>36</output>

<result>36</result>