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Finger [1]
3 years ago
7

What is the length of YA ?

Mathematics
2 answers:
earnstyle [38]3 years ago
7 0

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}

svp [43]3 years ago
7 0

Answer:

A is the answer.

Step-by-step explanation:

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