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3 years ago

In the right triangle shown, m∠A = 30 degrees, and BC = 6√2, how long is AC?

Mathematics

1 answer:

mart [117]3 years ago

3 0

They're trying to trick you with √2. Remember in the 30/60/90 triangle the sides are in ratio 1:√3:2, with the "1" opposite the 30 degrees.

Here we have

1:√3:2 = 6√2:x:hypotenuse

x/(6√2) = √3/ 1

x = 6√2×√3 = 6√6

Answer: AC=6√6

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