What is the perimeter of a triangle with sides 7 and 5 that has the maximum possible area? Choose the correct answer:
A) 12 + √7 B) 12 + 4√7 C) 12 + √47 D) 12 + 4√47 E) 12 + √74
We can maximize the area of the triangle by making these two sides the base and the height of a right angle triangle. Then the third side is the hypotenuse with a length of √(49+25)= 
<gadget id="calculator">(49+25)</gadget>
<output>74</output>
√74   The perimeter is 12 + √74   The answer is 12 + √74.
<result>E</result>
What is the perimeter of a triangle with sides 7 and 5 that has the maximum possible area?