Question

If the right triangle shown, AC= BC and AB=4, how long are each of the legs

Answer 1

In a right angle triangle ABC, at C = 90 degree as shown below

AC =BC and AB = 4 units

Let AC=BC= x units

Using Pythagoras theorem:

`AB^2 =AC^2+BC^2`

then substitute the given values we get;

`4^2 = 2x^2`

or

`16 = 2x^2`

Divide both sides by 2 we get;

`8 = x^2`

Simplify:

`x= √(8) =2√(2) \text{units}`

Therefore, each of the legs would be
`AC = √(8) =2√(2) \text{units}` and
`BC = √(8) =2√(2) \text{units}`