Mathematics: Someone just robbed a bank. the police set a triangular perimeter of 16 kilometers where the robber may be hiding. two of the three coordinates for this triangular perimeter are (2, 2) and (2, -1). each unit represents a kilometer. the area covered is a 12 square kilometers which of the following is the third coordinate of the triangular perimeter?

y+45^79(x+92)Step-by-step explanation:...

Someone just robbed a bank. the police set a

mlbowman3644

12.01.2022

Step-by-step explanation:

Perimeter = 16 km

s = 8 km

Area = $\sqrt{s(s-a)(s-b)(s-c)}$

Area = 12 sq km

Let the third coordinate be (x,y).

Then, a = $\sqrt{(2-2)^{2}+(2-(-1))^{2} }$

b = $\sqrt{(x-2)^{2}+(y-2)^{2} }$

c = $\sqrt{(x-2)^{2}+(y-(-1))^{2} }$

Solving, a+b+c = 16

and using area equation we get

x = -6

y = 2

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