At 6 am, a ship is sailing due south at constant speed. The navigator sights a lighthouse of bearing 270° at a distance of 24.2
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Answer:
The area of triangle for the given coordinates is 1.5
Step-by-step explanation:
Given coordinates of triangles as
A = (0,0)
B = (3,4)
C = (3,2)
So, The measure of length AB = a =
Or, a =
Or, a =
Or, a =
∴ a = 5 unit
Similarly
The measure of length BC = b =
Or, b =
Or, a =
Or, b =
∴ b = 2 unit
And
So, The measure of length CA = c =
Or, c =
Or, c =
Or, c =
∴ c = unit
Now, area of Triangle written as , from Heron's formula
A =
and s =
I.e s =
Or. s =
So, A =
Or, A =
Or, A = ×
∴ Area of triangle = 1.5
Hence The area of triangle for the given coordinates is 1.5 Answer