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3 problems match “30-60-90 triangles”. Clear

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1. Altitude of an equilateral triangle ●○○○○ 10 ptsAn equilateral triangle has side length 6 cm. Find the length of its altitude. Round to two decimal places.
2. Area of a parallelogram ●○○○○ 10 ptsIn parallelogram $ABCD$, $AB = 4$ cm, $BC = 6$ cm, and $\angle ABC = 30^\circ$. Find the area of parallelogram $ABCD$ in square centimetres.
3. Height of a pile of three pipes ●●○○○ 20 ptsThree identical cylindrical pipes, each with diameter $10\text{ cm}$, are stacked so that each pipe touches the other two: two lie side by side on the ground and the third rests on top of them, touching both. Let $h$ be the height of this pile, from the ground to the top of the highest pipe. Find $h$ in cm. Round to two decimal places.