Adding Vector Problem: Is There More?

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The discussion revolves around a vector problem involving basic trigonometric functions, specifically relating to a 45-45-90 triangle. The user initially encountered discrepancies in their calculations but later realized the error was in squaring the formula. They confirmed that with equal magnitudes for vectors a and b, the resultant vector's magnitude is calculated as 2*|a|*sin(45/2). The user ultimately resolved the issue independently. The conversation highlights the importance of careful calculations in vector problems.
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Ive done the basic trig functions and the result is different. It came out as 45 45 90 triangle and i found the h for it and done sin45 = h/c to get vector C. Am i missing something with vectors?
 
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Assuming magnitudes of vector a and vector be be to be equal to |a|, the resultant will have magnitude = 2*|a|*sin (45/2)
 
Thanks for respond but i was just about to say that i solved it. It was my fault in squaring formula.
 

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