Question

solve for b

b = ?
$\sqrt{?}$


Enter the number that goes beneath the radical symbol. ​

Answer 1

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.