Currently viewing the tag: "Triangles"
ABCD is a square with edge 1 unit. AM=MB and O is the centre of the square.
Find the area of the kite.
Can you find this area by more than one method?
Click here to download the KITE IN A SQUARE worksheet
Find some sticks, they could be twigs, or matchsticks or cocktail sticks, or rolled paper sticks, or pasta like spaghetti broken into short lengths, but they must all be the same length.
Arrange 16 sticks into this pattern.
As an easy starter, can you remove 4 sticks and leave […]
For any triangle you can construct a line through one of the vertices parallel to the opposite edge.
Using what you know about angles and parallel lines prove that the angles of the triangle add up to 180 degrees.
Click here to download the ANGLE SUM worksheet.
Click here […]
Squares 1, 2 and 3 all have edges of length 1 unit.
The top edge of square 2 is split into equal parts of length ½.
The left hand edge of square 3 is split into equal parts of length ½.
The top and bottom edges of square 3 is split into lengths ¼, […]
How many triangles can you find? Look carefully, there may be more than you think!
Click here to download a large copy of the triangle.
Click here to download a sheet to colour in your solutions.
Find the total area of the two red triangles by two different methods if ACD and BCE are straight lines .
What are the lengths PC and CQ?
The triangles are re-drawn with PC = x cm and CQ = y cm keeping the total area the same and keeping the distances between the green […]
If you know the sizes of the angles marked with coloured dots in the diagram which angles can you find by calculation? Explain your reasoning.
If you also know that AB and CD are parallel which angles can you find?
What extra information do you need to find all the numbered angles?
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In the diagram the line OS is perpendicular to the lines OR and PQ.
The line RS is a tangent at P to the circle centre O and radius 1 unit.
Find the lengths OQ, PQ, PS, OS, OR and RP.
If OS and OR lie on the coordinate axes, what are the coordinates […]
How many right-angled triangles of different sizes can you make by joining the dots on the 5 by 5 spotty grid?
Describe your triangles and say what geometrical properties they have.
You can download […]
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