Question

PLEASE HELP!!!!!!

Answer 1

Answer:

The answer is $\sqrt{20}$.

Step-by-step explanation:

Use the Pythagorean Theorem.  

$2^{2} + 4^{2} = c^{2} \\4+16 = c^{2} \\\sqrt{20} = c$

Answer 2

Answer: sqrt(20)

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Explanation:

Count out the spaces, or use subtraction, to find the horizontal side BC is 2 units long. Similarly, you'll find the vertical side AC is 4 units long.

Use the pythagorean theorem to find the length of segment AB.

a^2 + b^2 = c^2

2^2 + 4^2 = c^2

4 + 16 = c^2

20 = c^2

c^2 = 20

c = sqrt(20)

We stop here since it matches with choice B.

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Optionally, we can simplify like so

sqrt(20) = sqrt(4*5)

sqrt(20) = sqrt(4)*sqrt(5)

sqrt(20) = 2*sqrt(5)