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GREYUIT [131]
3 years ago
7

Solve for b

Mathematics
1 answer:
Alex73 [517]3 years ago
7 0

Answer:

b=\sqrt{21}

Step-by-step explanation:

Considering the given figure the sides 'b' , '2' and '5' are making the sides of a right angled triangle in the top right corner of the square, where

Hypotenuse=5  , Perpendicular=b and  Base=2

Using Pythagoras Theorem:

                (Hypotenuse)^2=(Perpendicular)^2+(Base)^2\\

       Implementing the values in the formula:

                      5^2= b^2+2^2

                     b^2=5^2-2^2\\\\b^2=25-4\\\\b^2=21\\\\b=\sqrt{21}

So, the value of 'b' is \sqrt{21} which is same for the the given 'b' in the figure.

                 

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