Question

Find the value of x.

Answer 1

$\huge{ \bold{ \bigstar \: pythagoras \bigstar}}$

Pythagoras :

${10}^{2} = {x}^{2} + {x}^{2}$

$100 = 2{x}^{2}$

$100 \div 2 = {x}^{2}$

$50 = {x}^{2}$

$x = \sqrt{50}$

$x = \sqrt{25 \times 2}$

$\red{x = 5 \sqrt{2} }$

Answer 2

Answer:

Step-by-step explanation:

Compare this to a similar figure with hypotenuse √2 and leg lengths all 1.

Write and solve an equation of ratios, as follows:

  x        10

------ = ------

  1        √2

              10√2

'then x = --------  =  5√2

                  2