Resources tagged with: Sine rule & cosine rule

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There are 8 results

Broad Topics > Pythagoras and Trigonometry > Sine rule & cosine rule

Raising the Roof

Age 14 to 16
Challenge Level

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

Xtra

Age 14 to 18
Challenge Level

Find the sides of an equilateral triangle ABC where a trapezium BCPQ is drawn with BP=CQ=2 , PQ=1 and AP+AQ=sqrt7 . Note: there are 2 possible interpretations.

Hexy-metry

Age 14 to 16
Challenge Level

A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?

Get Cross

Age 14 to 16
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?

Quadarc

Age 14 to 16
Challenge Level

Given a square ABCD of sides 10 cm, and using the corners as centres, construct four quadrants with radius 10 cm each inside the square. The four arcs intersect at P, Q, R and S. Find the. . . .

Darts and Kites

Age 14 to 16
Challenge Level

Explore the geometry of these dart and kite shapes!

Bendy Quad

Age 14 to 16
Challenge Level

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.

Calculating with Cosines

Age 14 to 18
Challenge Level

If I tell you two sides of a right-angled triangle, you can easily work out the third. But what if the angle between the two sides is not a right angle?