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A right triangle has legs with lengths of 28 centimeters and 20 centimeters. What is the length of this triangle's hypotenuse, in centimeters?

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A right triangle has legs with lengths of 28 centimeters and 20 centimeters. What is the length of this triangle's hypotenuse, in centimeters?

","comment":{"@type":"Comment","text":"

Choice B is correct. The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse. It's given that the right triangle has legs with lengths of $28$ centimeters and $20$ centimeters. Let $c$ represent the length of this triangle's hypotenuse, in centimeters. Therefore, by the Pythagorean theorem, $28^{2}+20^{2}=c^{2}$, or $1,184 = c^{2}$. Taking the positive square root of both sides of this equation yields $\\sqrt{1,184}=c$, or $4\\sqrt{74}=c$. Therefore, the length of this triangle's hypotenuse, in centimeters, is $4\\sqrt{74}$.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect. This is the square of the length of the triangle's hypotenuse.

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A right triangle has legs with lengths of 28 centimeters and 20 centimeters. What is the length of this triangle's hypotenuse, in centimeters?

","suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/html","text":"

8$\\sqrt{6}$

"},{"@type":"Answer","position":2,"encodingFormat":"text/html","text":"

$48$

"},{"@type":"Answer","position":3,"encodingFormat":"text/html","text":"

$1,184$

"}],"acceptedAnswer":{"@type":"Answer","position":1,"encodingFormat":"text/html","text":"

4$\\sqrt{74}$

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