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Video: Wheel of fortune II

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Intermediate

Mind the steps

Three similar rectangles and a line segment. Express red in terms of blue and green.

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Intermediate

In and out

An obtuse triangle, of which α is the obtuse angle, with its incircle, two cevians and two tangents. Find a relation between α and β.

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Video: The Bedouin tent

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Video: Four six four

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Intermediate

Pop you bubble

A square with a semicircle and a circle of equal radius. Their tangency point is shown. Prove that the red triangle is equilateral.

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Video: Eclipsing earth

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Intermediate

Wheel of fortune II

A triangle with its incircle and three cevians. The tangency points and incentre are shown. Find the relation between the angles α, β and γ.

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Video: Hats off

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Beginner

The Bedouin tent

A semicircle and a triangle of which one side is tangent to the semicircle. What is the angle α?