A right triangle, the sum of the lengths of the two sides is 15 cm, their ratio is 3:2, the length of the hypotenuse is 12 cm, what is the height of the hypotenuse in cm.
一个直角三角形，两条直角边长度之和是15厘米，它们的比是3：2，斜边长12厘米，斜边上的高是多少厘米．
<gadget id="calculator">3 + 2</gadget>
<output>5</output>

<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">15 * (3/5)</gadget>
<output>9</output>

<gadget id="calculator">15 - 9</gadget>
<output>6</output>

<gadget id="calculator">6 / 2</gadget>
<output>3</output>

<gadget id="calculator">2 / 12</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">9 * 3 * (1/6)</gadget>
<output>9/2 = around 4.5</output>

<result>9/2 = around 4.5</result>