Question

What is the length of YA ?

Answer 1

AYZ is a right triangle (we're given that YA is perpendicular to XZ). So, we can use the pythagorean theorem to find the missing side:

$YA^2+AZ^2=YZ^2$

But we're also given $YZ = 2AZ$, so we have

$YA^2+AZ^2=(2AZ)^2=4AZ^2$

Since AZ is half of YZ, which is 10, we deduce AZ=5.

Solving for YA, we have

$YA^2+AZ^2=4AZ^2 \iff YA^2 = 3AZ^2 \iff YA = AZ\sqrt{3} = 5\sqrt{3}$

Answer 2

Answer:

A is the answer.

Step-by-step explanation: