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A square and a triangle have the same area. If the square has a side length of 6 units and the triangle has a base of 8 units, what is the length, in units, of the altitude to that base of the triangle?

 Jul 17, 2019
 #1
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A square and a triangle have the same area.

If the square has a side length of 6 units and the triangle has a base of 8 units, what is the length, in units, of the altitude to that base of the triangle?

 

\(\begin{array}{|rcll|} \hline \dfrac{8h}{2} &=& 6^2 \\ 4h &=& 36 \\ h &=& \dfrac{36}{4} \\ \mathbf{h} &=& \mathbf{9} \\ \hline \end{array} \)

 

The altitude  of the triangle is 9 units

 

laugh

 Jul 17, 2019

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