The triangle LMN is a scalene triangle, and the area of the triangle LMN in the coordinate plane is 4 square units.
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A triangle is a shape that has 3 sides and 3 angles
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The coordinates are given as:
L = (1,-1)
M = (3,2)
N = (1,3)
Calculate the length of side NL using:
NL = √[(x2 -x1)^2 + (y2 - y1)^2]
So, we have:
NL = √[(1 -1)^2 + (3 + 1)^2]
NL = √16
NL = 4
The altitude MP is 2 units.
So, the area is:
Area = 0.5 * NL * MP
This gives
Area = 0.5 * 4 * 2
Evaluate the product
Area = 4
Hence, the area of the triangle is 4 square units
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