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5 problems match “altitude of a triangle”. Clear

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1. Altitude of an isosceles triangle ●○○○○ 10 ptsIn triangle $ABC$ with $AB=AC=25$ and $BC=14$, let $D$ be the foot of the altitude from $A$ to $BC$. Find the length of $AD$.
2. 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.
3. 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.
4. Shortest altitude of a triangle ●●○○○ 20 ptsThe sides of a triangle have lengths $15$, $20$, and $25$. Find the length of the shortest altitude.
5. Orthocentre of a triangle ●●○○○ 20 ptsFind the coordinates of the orthocentre of the triangle with vertices $A(5,6)$, $B(2,4)$ and $C(1,-3)$. Round each coordinate to two decimal places.