Triangles

problem

Farhan's Poor Square

Age

14 to 16

Challenge level

From the measurements and the clue given find the area of the square that is not covered by the triangle and the circle.
problem

Counting Triangles

Age

11 to 14

Challenge level

Triangles are formed by joining the vertices of a skeletal cube. How many different types of triangle are there? How many triangles altogether?
problem

Threesomes

Age

11 to 14

Challenge level

Imagine an infinitely large sheet of square dotty paper on which you can draw triangles of any size you wish (providing each vertex is on a dot). What areas is it/is it not possible to draw?
problem

A Shade Crossed

Age

14 to 16

Challenge level

Find the area of the shaded region created by the two overlapping triangles in terms of a and b?
problem

Dotty Triangles

Age

11 to 14

Challenge level

Imagine an infinitely large sheet of square dotty paper on which you can draw triangles of any size you wish (providing each vertex is on a dot). What areas is it/is it not possible to draw?
problem

Isosceles Meld

Age

11 to 14

Challenge level

Weekly Problem 9 - 2012
What is the angle QPT in this diagram?
problem

Centred

Age

14 to 16

Challenge level

Weekly Problem 13 - 2012
The diagram shows contains some equal lengths. Can you work out one of the angles?
problem

Stellar Angles

Age

11 to 14

Challenge level

Weekly Problem 30 - 2013
What is the angle $x$ in the star shape shown?
problem

Lighting Up Time

Age

7 to 14

Challenge level

A very mathematical light - what can you see?
problem

Kissing Triangles

Age

11 to 14

Challenge level

Determine the total shaded area of the 'kissing triangles'.