Can someone check my work and show work

If A= 10.5 in and C= 37.5 in, what is the length of B?
https://media.studyisland.com/pics/67962q10pyth.PNG

A.
27 in
B.
36 in
C.
31.5 in
D.
40.5 in

Question

Can someone check my work and show work

If A= 10.5 in and C= 37.5 in, what is the length of B?
https://media.studyisland.com/pics/67962q10pyth.PNG
  
 A. 
27 in
   B. 
36 in
  C. 
31.5 in
  D. 
40.5 in

tate_langdon · Answer

I say the answer is B

mathstudent55 · Answer

Your answer is correct.
Did you use the Pythagorean theorem to find it?

tate_langdon · Answer

Yeah but can you show me why you think i'm right

tate_langdon · Answer

@mathstudent55

mathmale · Answer

Why not look up "Phythagorean Theorem" for a review of what it is and what it's used for?

You have a right triangle here.   The lengths of the 2 shorter sides are 10.5 inches and 37.5 inches.  Please square each of these two figures.

mathmale · Answer

Add your squares together and find the square root of the sum.  THAT is the length of your hypotenuse.  Again, please look up the Pyth. Thm. and compare your findings to this discussion.

mathstudent55 · Answer

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