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.
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
1 answer