Answer:
B= [tex]\sqrt{65}[/tex] ≅8.06
Explanation:
Using the Pythagorean theorem:
[tex]C^{2}[/tex]= [tex]A^{2}[/tex] + [tex]B^{2}[/tex]
where C represents the length of the hypotenuse and A and B the lengths of the triangle's other two sides, we can find out the lenght of B assuming the value of the hypotenuse being 9 and A being 4.
[tex]9^{2}[/tex]=[tex]4^{2}[/tex] + [tex]B^{2}[/tex]
81= 16+ [tex]B^{2}[/tex]
81-16= [tex]B^{2}[/tex]
B= [tex]\sqrt{65}[/tex] ≅8.06
The length of B is equal to 8.06 units
Data given;
To solve this question, we have to use the formula of finding resultant vectors
Since it's a right-angle triangle, let's use Pythagoras' theorem
[tex]C^2=A^2 + B^2\\9^2 = 4^2 + B^2\\b^2 = 9^2 - 4^2\\b^2 = 65\\b = \sqrt{65}\\b = 8.06[/tex]
From the calculation above, the length of B is equal to 8.06.
Learn more on resolution of vectors here;
https://brainly.in/question/3543542
