Answer:
The coordinate of triangle RST from the figure are;
R = (-3,2), S=(3,2) and T=(-1,-1). also the coordinate of U = (-1, 2).
Distance Formula: It is used to determine the distance between two points with the coordinates and i.e,
Distance =
Now, using above formula to find the sides of a given triangle:
Calculate the length of RS , where R=(-3,2) and S=(3,2);
RS= or
RS=
Simplify: we get
RS= unit.
Similarly, for TU, where T=(-1.-1) and U=(-1,2).
then:
TU= or
TU= or
Simplify:
unit.
Since, we have to calculate the Area of triangle RST.
To, find the area of a triangle, multiply the base by the height and then divide it by 2.
i.e,
Area of triangle = where b is the base and h is the height of the triangle.
Here, in the given triangle RST, the base of the triangle = RS and the height of the triangle= TU.
Area of =
Substitute the value of RS = 6 unit and TU= 3 unit in the above formula;
Area of =
Simplify:
Area of = square unit.