Three squares are placed as shown. Given that the green areas are equal, what is the side length of the orange square?
Categories
New Year 2021
Tag: length
Categories
The Post-it note
Two unit squares (having side 1) are placed as shown. What is the total perimeter of the two red triangles?
Categories
The goblet of fire
A circle containing two touching semicircles. What is the proportion of the circle diameter a to the line segment b?
Categories
The wheelbarrow
A circle and two semicircles are nested as shown. What’s the proportion of their respective radii a : b : c ?
Categories
The party hat
A cone has height 6 and base diameter 6. On it lie two points, one exactly halfway up, the other diametrically opposed at the base. What’s the shortest distance between these points going along the cone surface?
Categories
The pyramid perspective
Two congruent pyramids placed at different distances from the observer appear as equilateral triangles in a square frame. If the closest one is at 100 meter, how far is the distant pyramid?
Categories
The blue diamond
Two isosceles triangles are placed as shown. What is the proportion of the line segments a and b?
Categories
The lazy spider
A spider situated at point A on the outside of a cylinder with diameter 4 and height 3 is trying to get to a fly at point C on the complete opposite side as fast as possible. What is the shortest route?
Categories
The corner pocket
A snooker player wants to corner a ball starting from a point on one side and bouncing two times from the opposite sides. Given the dimensions of the table in the figure, what’s the length of the track the snooker ball travels?
Categories
Moon over mountains
A rectangular frame encloses two congruent equilateral triangles and a unit circle. What is difference between width and height of the rectangle?