Question

Which expression finds the length of side b of this right triangle?

Answer 1

`b = √(c^2 - a^2)`

Answer 2

Answer:
`b=√(c^2-a^2)`

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

`c^2=a^2+b^2`

To find b , first , we subtract
`a^2` from both sodes , we get

`b^2=c^2-a^2`

Now, take square root on both sides ,we get

`b=√(c^2-a^2)`

Hence, the expression finds the length of side b of this right triangle :
`b=√(c^2-a^2)`