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2 problems match “altitude to hypotenuse”. Clear

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1. Minimum area with given hypotenuse altitude ●●○○○ 20 ptsIn right triangle $ABC$, the altitude to the hypotenuse has length 4. Find the minimum value of the area of triangle $ABC$.
2. Area of a 30-60-90 triangle ●●○○○ 20 ptsA right triangle has angles of $30^\circ$ and $60^\circ$. The altitude from the right-angle vertex to the hypotenuse is $3$ units. Find the area of the triangle in square units. Round your answer to two decimal places.