Area of the triangle ΔPQR 25 square unit.
what is the arae of the triangle?
The area of the triangle is determined by half of the product of base and height of the triangle.
in coordinate system,
if (x₁,y₁ ),(x₂,y2₂), and (x₃ ,y₃) are the coordinates of three vertices of triangle.
area of the triangle = A = (1/2) |x₁(y₂ − y₃ ) + x₂(y3₃ − y₁) + x₃(y₁− y₂)|
According to asked question,
x₁=-6,y₁=7
x₂=2,y₂=1
x₃=-1,y₃=-3
using the above staed formula for area of triangle
A = (1/2) |x₁(y₂ − y₃ ) + x₂(y3₃ − y₁) + x₃(y₁− y₂)|
=1/2*|-6(1-(-3)) + 2 (-3-7) + (-1)(7-1)|
=1/2*|(-6*4 )+(2*(-10)) + ((-1)*6)|
= 1/2*| -24-20-6|
= 1/2*| -50|
= 1/2*50
= 25 square unit
Therefore Area of the triangle ΔPQR 25 square unit
learn more about area of a triangle
here: https://brainly.com/question/18366383
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