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Resources tagged with Sine rule similar to The Dodecahedron Explained:

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Broad Topics > Trigonometry > Sine rule

The Dodecahedron Explained

Stage: 5

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

Square World

Stage: 5 Challenge Level:

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

8 Methods for Three by One

Stage: 4 and 5 Challenge Level:

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?. . . .

Raising the Roof

Stage: 4 Challenge Level:

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

30-60-90 Polypuzzle

Stage: 5 Challenge Level:

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

Cosines Rule

Stage: 4 Challenge Level:

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.

Get Cross

Stage: 4 Challenge Level:

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?