Question

If you need more info i will give you the Sentence

Answer 1

we are asked to use the Pythagorean theorem. The statement of the theorem is the following:

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

Where "c" is the hypotenuse, that is, the side that is opposite to the 90 degrees angle. "a" and "b" are the other two sides of the right triangle.

Replacing the given values we get:

`(2in)^2+b^2=(5in)^2`

Solving the squares:

`4in^2+b^2=25in^2`

Subtracting 4 to both sides:

`\begin{gathered} b^2=25in^2-4in^2 \\ b^2=21in^2 \end{gathered}`

Now we take square roots to both sides:

`\begin{gathered} b=\sqrt[]{21in^2} \\ b=4.6in \end{gathered}`

Therefore, the missing side is 4.6 inches.