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The area of the triangle FGH is 13√10 unit²
Given,
The vertices;
F(2, -8), G(7, -7), H(6, -4)
We have to find the area of the triangle.
Area of triangle = 1/2bh²
Here,
Area of triangle FGH = 1/2 (GH) (FG)²
Now,
Length of FG = =
=
= √26
Length of GH = =
=
= √10
Then,
Area of triangle FGH = 1/2 (GH) (FG)²
Area of triangle FGH = 1/2 × √10 × √26²
Area of triangle FGH = 1/2 × √10 × 26
Area of triangle FGH = 13√10
Therefore,
The area of the triangle FGH is 13√10 unit²
Learn more about triangle here;
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