An isosceles triangle with two altitudes dividing each other in segments of length 4 and 5. What is the total triangle area?
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En garde
Tag: triangle
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Distant peaks
Two isosceles triangles and a right angle. What is the proportion green : gold?
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The Lion King II
A regular hexagon and three squares. What is the proportion yellow : brown?
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The eye mask
A right triangle with its inscribed circle. Two cevians are drawn through the circle centre. What is the circle area in terms of triangle areas A and B?
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The red balloon
An equilateral triangle with an altitude. Two of its sides form the radii of the circular sector. What fraction of the area is covered by the red circle?
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The yellow sailboat
A square, two equilateral triangles and an extended side. What is the proportion yellow : blue?
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Warning triangle II
A square, a triangle and two equal angles. What is the angle α?
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The green quad
Three semicircles and a circle all touching each other. The diameters of the two smallest semicircles are given. The large triangle connects three tangency points. What is the area of the green quadrilateral?
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The strawberry ice cream
Two tangent circles and a triangle. The figure has reflection symmetry in the vertical diameter d, of which one ninth is above the horizontal chord. What fraction is pink?
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Seventies tipi II
A triangle containing two tangent semicircles. What’s the proportion α : β?