Question

Find the length of side x in simplest radical form with a rational denominator.

Answer 1

Step-by-step explanation:

Given length of hypotenuse h =3 units

adjacent angle for x is 45⁰

therefore

$\cos( {45}^{0} ) = \frac{x}{3}$

$\cos( {45}^{0} ) = \frac{1}{ \sqrt{2} }$

$\frac{1}{ \sqrt{2} } = \frac{x}{3}$

$x = \frac{3}{ \sqrt{2} } units$

x=3√2/2