The area of the triangle with the coordinate of the vertice will be 6 square units.
<h3>What is the triangle?</h3>
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Triangle RST, with vertices R(5,-9), S(9,-5), and T(7,-4), is drawn on the coordinate grid below.
Then the area of the triangle will be
Area = 1/2 [(x₁y₂ + x₂y₃ + x₃y₁) - (y₁x₂ + y₂x₃ + y₃x₁)]
Area = 1/2 [{5 x -5 + 9 x -4 + 7 x -9} - {-9 x 9 + -5 x 7 + -4 x 5}]
Area = 1/2 [{-124} - {-136}]
Area = 1/2 [ -124 + 136]
Area = 1/2 x 12
Area = 6 square units
More about the triangle link is given below.
brainly.com/question/25813512
#SPJ1