Answered

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The sum of the base and height of a triangle is 12 cm. What is the largest area that the triangle can have? (see figure)

The Sum Of The Base And Height Of A Triangle Is 12 Cm What Is The Largest Area That The Triangle Can Have See Figure class=

Sagot :

SOLUTION

It is given that the sum of the base and is 12

It follows:

[tex]\begin{gathered} x+h=12 \\ h=12-x \end{gathered}[/tex]

The area of the triangle is:

[tex]A=\frac{1}{2}xh[/tex]

Substitute h=12-x into the equation

[tex]\begin{gathered} A=\frac{1}{2}x(x-12) \\ A=\frac{1}{2}x^2-6x \end{gathered}[/tex]

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