Question 4
1 answer:
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<h3>Answer:</h3>
square units (approximately 2338.26859)
The formula for finding the area of a regular hexagon when you know its side length is , where
is the area and
is the side length.
- Substitute in the side length.
- Simplify the exponent.
- Multiply.
- Divide.
is as simple as the solution can get without estimating, but you can estimate with a calculator to find that it is approximately 2338.26859.
There are several ways two triangles can be congruent.
<em> congruent by SAS</em>
<em> congruent by corresponding theorem</em>
In and
(see attachment), we have the following observations
--- Because O is the midpoint of line segment AD
--- Because O is the midpoint of line segment BC
---- Because vertical angles are congruent
---- Because vertical angles are congruent
Using the SAS (<em>side-angle-side</em>) postulate, we have:
Using corresponding theorem,
---- i.e. both triangles are congruent
The above congruence equation is true because:
- <em>2 sides of both triangles are congruent</em>
- <em>1 angle each of both triangles is equal</em>
- <em>Corresponding angles are equal</em>
See attachment
Read more about congruence triangles at:
