Identical triangles can be joined together to form larger triangles that
are similar to each of the smaller ones, as shown below.
a) A larger triangle with a height of 16 cm is made in this way from
smaller triangles with a height of 2 cm and an area of 2.3 cm².
What is the area of this larger triangle?
b) Another larger triangle is made from smaller, similar triangles. The
perimeter of this larger triangle is 32 times larger than the perimeter
of one of the smaller triangles.
How many smaller triangles are used to form this larger triangle?
