Answer:
20
Explanation:
To find the side length x in the given right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the side lengths of the triangle are given as 12 and 16. We can label the side opposite the right angle as x. Applying the Pythagorean theorem, we have:
x^2 = 12^2 + 16^2
Simplifying the equation, we get:
x^2 = 144 + 256
x^2 = 400
To find the value of x, we need to take the square root of both sides of the equation:
x = √400
x = 20
Therefore, the side length x in the given right triangle is 20 units. It is important to note that the Pythagorean theorem can only be used in right triangles, where one angle is equal to 90 degrees.