Question 1196830
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The area of a triangle is 102 cm^2. Determine the base and the altitude of the triangle 
if the altitude exceeds the base by 5 cm.
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<pre>
Write the area equation

    {{{(1/2)*x*(x+5)}}} = 102


Simplify

    x*(x+5) = 2*102 = 204.


Notice that 204 = 4*51 = 4*3*17 = 12*17  is the product of two numbers, 12 and 17,
whose difference is 5.


After noticing it, you just have the


<Y>ANSWER</U>.  The base is 12 cm.  The altitude is 17 cm.
</pre>

Solved (mentally).