Question

Determine the value of x.

Answer 1

Answer:

6$\sqrt{2}$

Step-by-step explanation:

We should be using pythagoras theorem

6^2 + 6^2 = 72

$\sqrt{72}$ is the length of x

it is also equal to $\sqrt{36*2}$

The square root of 36 is 6

and the square root of 2 is $\sqrt{2}$

Thus the ans is 6$\sqrt{2}$

Answer 2

Answer:

x = 6$\sqrt{2}$

Step-by-step 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 = $\sqrt{72}$ = $\sqrt{36(2)}$ = $\sqrt{36}$ × $\sqrt{2}$ = 6$\sqrt{2}$