In the diagram, the length of Line segment Y Z is twice the length of Line segment A Z. Triangle X Y Z is shown. Angle X Y Z is a right angle. An altitude is drawn from point Y to point A on size Z X to form a right angle. Line segment Y A is an altitude of ΔXYZ. What is the length of Line segment Y A

The length of Line segment YA is √3 AZ.

Step-by-step explanation:

It is provided that:

Consider the diagram below.

Now consider the right angled triangle YAZ, 90° at ∠A.

Use the Pythagoras theorem to determine the value of segment YA as follows:

Thus, the length of Line segment YA is √3 AZ.

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