The area of the triangle will be 24912 sq. units. Square units and other similar units are used to measure area.
What is the area?
The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area.
For:
(X1, Y1) = (1, 15)
(X2, Y2) = (-2, 1)
d = 14.317821
For:
(X₂, Y₂) = (-2, 1)
(X₃, Y₃) = (4, 5)
d = 7.211103
For applying the pythogorous them we need the right angle triangle obtained by bisect from the mid point.
The value of the base is;
⇒7.2 / 2
⇒3.6
apply the pythogorous theorem for finding the height;
h² = p² + b²
14.31² = p² + 3.6²
p = 13.84
The area of the triangle is;
[tex]\rm A = \frac{1}{2}\times b \times h \\\\ A= \frac{1}{2} \times 3.6 \times 13.84 \\\\ A = 24.912[/tex]
Hence, the area of the triangle will be 24912 sq. units.
To learn more about the area, refer to the link;
https://brainly.com/question/11952845
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