### Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

### Calendar Capers

Choose any three by three square of dates on a calendar page...

### Days and Dates

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

# More Isometric Areas

##### Stage: 3 Challenge Level:

This problem follows on from Isometric Areas.

Here is an equilateral triangle with sides of length 1.
Let's define a unit of area, $T$, such that the triangle has area $1T$.

Each of the triangles below has at least two edges whose side lengths are whole numbers.
For example triangle $B$ has sides of length $3$ and $4$.

Work out the area, in terms of $T$, of each of the triangles.

Compare the areas to the whole number side lengths.
What do you notice?
Can you explain what you have noticed?

You might like to try Of All the Areas next.