Answer: [tex]b=\sqrt{c^2-a^2}[/tex]
Step-by-step explanation:
According to the Pythagoras theorem of right triangle,
The square of hypotenuse is the sum of squares of other two sides.
In the given figure , c denotes the hypotenuse of the right triangle , a and b are the legs of the triangle.
Then by Pythagoras theorem of right triangle, we have
[tex]c^2=a^2+b^2[/tex]
To find b , first , we subtract [tex]a^2[/tex] from both sodes , we get
[tex]b^2=c^2-a^2[/tex]
Now, take square root on both sides ,we get
[tex]b=\sqrt{c^2-a^2}[/tex]
Hence, the expression finds the length of side b of this right triangle : [tex]b=\sqrt{c^2-a^2}[/tex]
