Answer:
z = 12[tex]\sqrt{3}[/tex]
y = 12
x = 12[tex]\sqrt{2}[/tex]
Step-by-step explanation:
In a 30-60-90 triangle, the longer leg is [tex]\sqrt{3}[/tex] times the shorter leg and the hypotenuse is 2 times the shorter leg.
In a 45-45-90 triangle, the legs have the same length and the hypotenuse is [tex]\sqrt{2}[/tex] times a leg
MEMORIZE BOTH OF THE ABOVE.
The altitude to the hypotenuse is the shorter leg of a 30-60-90 triangle. So, it is 1/2 of 24 = 12
Now z = 12[tex]\sqrt{3}[/tex]
y = 12
x = 12[tex]\sqrt{2}[/tex]
