Three highways connect the centers of three towns and form a triangle. A cell phone company wants to place a new cell tower so t
hat it is the same distance from the centers of the three towns. How can the company find where to place the tower? Explain.
2 answers:
we know that
The circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect. It is also the center of the circumcircle, the circle that passes through all three vertices of the triangle
The distance of the circumcenter to the vertices of the triangle is equal to the radius of the circle
<u>see the attached figure to better understand the problem</u>
therefore
<u>the answer is</u>
The cell phone company must be place the new cell tower in the circumcenter of the triangle formed by the center of the three towns
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Answer:
The area of the polynomial is 35 square unit.
Step-by-step explanation:
It is given that area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2).
From the below graph it is noticed that the given polynomial is a rectangle with length 5 and width 7.
The distance formula
Using the above formula we get,
The length of opposing sides are equal.
Using the Pythagoras theorem, the length of diagonal WY and XZ are
Since the length of the diagonal are same, therefore the given polygon is a rectangle.
The area of a rectangle is
Where l is length and w is width.
The area of given polynomial is
Therefore the area of the polynomial is 35 square unit.
