TASK 1 [13]
The shape above is made up of 7 triangles. It uses 15 matches and has a perimeter of 9.
Investigate the connection between the nurnber of triangles, the number of matches used and the
perimeter of the shape.
Copy and complete the table below to help you.
(6)
1
2
3
4.
20
Number of triangles
Number of matches
Perimeter
7
15
CO
Use the table to answer the following questions:
a)
Write down in words the 'rule' you have used to find the number of matches for n triangles.
(2)
b
)
Calculate the number or matches needed to form 45 triangles in the same arrangement as the
given sketch
(2)
c)
How many triangles will be formed if 75 matches are used?
(3)​