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What is the length of the apothem, rounded to the nearest inch? Recall that in a regular hexagon, the length of the radius is equal to the length of each side of the hexagon.
4 in.
5 in.
9 in.
11 in.

What is the length of the apothem rounded to the nearest inch Recall that in a regular hexagon the length of the radius is equal to the length of each side of t class=

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Answer:

The third option, or 9, is the answer.

Step-by-step explanation:

The length of the apothem can be found using the pythagorean theorem. Since the length of each side of the hexagon is 10, the base of the triangle is 5, since 10/2=5. Plugging these two values into the pythagorean equation leaves 25+b^2=100.

B^2 = 75, so the length of the apothem is sqrt(75)

this is approximately 8.66, so the answer is 9.

The length of the apothem is 9 inch.

What is Apothem

The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides.

Using the pythagoras theorem.

As, the length of each side of the hexagon is 10.

so, the base of the triangle is 10/2=5.

Now using two values we get

25+b²=100.

B² = 75

Hence, so the length of the apothem is √75 = 8.66 = 9 (approx)

Learn more about Apothem here:

https://brainly.com/question/14963674

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