2. what is the length of the unknown side?
side 1 = x
side 2 = 16
side 3 = 12
a. 28 units
b. 14 units
c. 20 units
d. 200 units
To determine the length of the unknown side, you need to use the Pythagorean theorem which states that for a right triangle, the sum of the squares of the two legs is equal to the square of the hypotenuse.
In this case, let's assume that side 1 (x) is the missing side and apply the theorem:
x^2 + 12^2 = 16^2
Simplifying the equation results in:
x^2 + 144 = 256
Subtracting 144 from both sides gives:
x^2 = 112
Taking the square root of both sides, we get:
x ≈ 10.6
Therefore, the length of the unknown side (side 1) is approximately 10.6 units.
The correct answer is not listed in the options provided.