The sine rule is the ratio of perpendicular and hypotenuse. Then the length of the hypotenuse is 3 units.
What is a right-angle triangle?
It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
Then the length of the hypotenuse is given by the sine rule.
[tex]\rm \sin \theta = \dfrac{Perpendicular}{Hypotenuse}[/tex]
We have
θ = 45°
P = 3√2
Then we have
[tex]\rm H = 3\sqrt2 \sin 45^o\\\\H = 4.2426 \times 0.7071\\\\H = 2.9999 \approx 3[/tex]
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
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