Question

Work out the area of Triangle ABC

Just to confirm, these are the numbers,
Bottom right: √2cm
Bottom Left: 3√2cm
Middle right: 2√5cm


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Answer 1

The main idea is using the Pythagorean formula to find the length of line segment
`DB`.

Alr so you use the formula
`A^2 + B^2 = C^2`

`C^2` is already given and is
`2√(5)`

and
`A^2` is
`3√(2)`

So using algebraic rules you'll get
`B` as:

`√(2)`

Now using the formula:
`(1)/(2) b * h`, you can find the area of tri ABD and CBD which would be
`3` and
`1` so add them up and you get
`4`!