The value of the hypotenuse side, x of the right angle triangle is 8 units
What is a right angle triangle?
A right angle triangle is a triangle that has one of its angle as 90 degrees. Therefore, the sides can be found using trigonometric ratios.
Using trigonometric ratios,
sin 45 = opposite / hypotenuse
sin 45 = 4√2 / x
cross multiply
x sin 45 = 4√2
x = 4√2 / sin 45
x = 4√2 / √2 / 2
Therefore,
x = 4√2 × 2 / √2
x = 8√2 / √2
x = 8
learn more on right angle triangle here: brainly.com/question/3770177
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