The length of sides x in the simplest radical form is 2√2
Properties of a right angled triangle:
- One of the angle is equals to 90 degree.
- The sides can be found using Pythagoras theorem
- Trigonometric ratios can be used to find the angles.
Let's find x using trigonometric ratios
sin ∅ = opposite / hypotenuse
Therefore,
sin 30° = √2 / x
x sin 30° = √2
x = √2 / sin 30°
x = [tex]\frac{\sqrt{2} }{\frac{1}{2} }[/tex]
x = [tex]\sqrt{2}[/tex] × 2
x = 2√2
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