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# The area of a triangle is 299 square centimeters. The length of the base is 46 centimeters. What is the height of the triangle? 6.5 centimeters 13 centimeters 126.5 centimeters 92 centimeters

$\begin{matrix} 299=\frac{1}{2}\left(46\right)h\\\\\frac{1}{2}\left(46\right)h=299\\\\23h=299\\\\\frac{23h}{23}=\frac{299}{23}\\\\h=13\\\\h=\mathbf{13cm} \end{matrix}$