Question

How to work out the missing sides?

Answer 1

5
`√(2)`

Explanation:

The triangle has 2 equal legs, name them x so

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + x² = 10²

2x² = 100 ( divide both sides by 2 )

x² = 50 ( take the square root of both sides )

x =
`√(50)` =
`√(25(2))` = 5
`√(2)`