Question

Solve for b

b = ?

`√(?)`


Enter the number that goes beneath the radical symbol. ​

Answer 1

b=
`√(21)`

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=√(21)`

So, the value of 'b' is
`√(21)` which is same for the the given 'b' in the figure.