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2 problems match “Thales theorem”. Clear

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1. Right triangle with given circumradius and altitude ●○○○○ 10 ptsA right-angled triangle has circumradius $3$ cm. The altitude drawn to its hypotenuse is $2$ cm. Find the area of the triangle in square centimetres.
2. Area of circle through three points ●●○○○ 20 ptsA circle passes through the points $(1,1)$, $(1,7)$, and $(9,1)$. The area of the circle can be expressed as $k\pi$. Find the value of $k$.