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Resources tagged with Sine rule similar to Square World:

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Broad Topics > Trigonometry > Sine rule

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Square World

Stage: 5 Challenge Level: Challenge Level:1

P is a point inside a square ABCD such that PA= 1, PB = 2 and PC = 3. How big is angle APB ?

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30-60-90 Polypuzzle

Stage: 5 Challenge Level: Challenge Level:1

Re-arrange the pieces of the puzzle to form a rectangle and then to form an equilateral triangle. Calculate the angles and lengths.

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Get Cross

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

A white cross is placed symmetrically in a red disc with the central square of side length sqrt 2 and the arms of the cross of length 1 unit. What is the area of the disc still showing?

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Raising the Roof

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

How far should the roof overhang to shade windows from the mid-day sun?

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Bendy Quad

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Four rods are hinged at their ends to form a convex quadrilateral. Investigate the different shapes that the quadrilateral can take. Be patient this problem may be slow to load.

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The Dodecahedron Explained

Stage: 5

What is the shortest distance through the middle of a dodecahedron between the centres of two opposite faces?

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Cosines Rule

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Three points A, B and C lie in this order on a line, and P is any point in the plane. Use the Cosine Rule to prove the following statement.

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8 Methods for Three by One

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

This problem in geometry has been solved in no less than EIGHT ways by a pair of students. How would you solve it? How many of their solutions can you follow? How are they the same or different?. . . .