Consider the diagram below
Which of the following represents the values of x, y, and z?

I took the same test, its B, I got it right.
For proof, I solved y for 4sqrt2. A says x=y which cant be true, so it has to be B, the only other option with y=4sqrt2 in which x=4sqrt6
(sqrt means square root)
Applying the right triangle altitude theorem and the pythagorean theorem, the values are: x = 9.8; y = 5.7, z = 7.0
The right triangle altitude theorem states that the altitude of a right triangle equals the geometric mean of the two segments divided.
Applying the theorem:
y = √(8×4)
y = 5.7
Applying the Pythagorean theorem, we have:
x = √(8² + 5.7²)
x = 9.8
z = √(4² + 5.7²)
z = 7.0
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