Write an equation to help you find the unknown side. Then solve the equation. Simplify your answer. Round to the nearest tenth, if necessary.
Show all of your work by writing out the steps you used to solve the problem or by using the drawing features in the space provided.
side 1= 4
side 2 = x
side 3 =12
To find the length of side 2, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse). In this case, we have:
4^2 + x^2 = 12^2
Simplifying and solving for x, we get:
16 + x^2 = 144
x^2 = 128
x = sqrt(128) ≈ 11.3
Therefore, the length of side 2 is approximately 11.3 units.