Question

Determine the value of x.

Answer 1

x = 6
`√(2)`

Explanation:

Note the triangle is a right- isosceles, with equal legs = 6

Using Pythagoras' identity on the right triangle.

x² = 6² + 6² = 36 + 36 = 72 ( take the square root of both sides )

x =
`√(72)` =
`√(36(2))` =
`√(36)` ×
`√(2)` = 6
`√(2)`

Answer 2

6
`√(2)`

Explanation:

We should be using pythagoras theorem

6^2 + 6^2 = 72

`√(72)` is the length of x

it is also equal to
`√(36*2)`

The square root of 36 is 6

and the square root of 2 is
`√(2)`

Thus the ans is 6
`√(2)`