Question

Find the length of side

x in simplest radical form with a rational denominator.



Thanks in advance

Answer 1

Answer:

2

Step-by-step explanation:

Pythagoras. c² = a² + b²

since both "side angles" are equal (45 degrees), we know it is an isosceles triangle, that means also the other side = x.

and so,

8 = x² + x² = 2x²

4 = x²

x = 2

Answer 2

Answer:

x = 2

Step-by-step explanation:

sin(45)/x = sin(90)/$\sqrt{8}$

$\sin \left(45^{\circ \:}\right)=\frac{\sqrt{2}}{2}$

x = $\sqrt{8}$ $\sin \left(45^{\circ \:}\right)$

$x = \sqrt{8} \frac{\sqrt{2}}{2}$

x = $\frac{\sqrt{16} }{2}$

x = 4/2

x = 2