On a coordinate plane, triangle R S T has points (negative 3, 2), (3, 2), and (negative 1, 1). An altitude is drawn from point T to point U at (negative 1, 2).
What is the area of triangle RST?

6 square units
9 square units
12 square units
18 square units

Respuesta :

Answer:

The answer is

Step-by-step explanation:

B. 9 square units

The area of the triangle RST is 3 square units if the triangle RST has points (-3, 2), (3, 2), and (-1, 1). An altitude is drawn from point T to point U at (-1, 2).

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have:

Triangle RST has points (-3, 2), (3, 2), and (-1, 1).

We are assuming the coordinate for point R is (-3, 2)

S(3, 2)

T(-1, 1)

An altitude is drawn from point T to point U at (-1, 2).

From the distance formula, we can find the distance between R and S and distance between TU.

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

h = 1 units

b = 6 units

Area of triangle RST = (1/2)(6×1) = 3 square units

Thus, the area of the triangle RST is 3 square units if the triangle RST has points (-3, 2), (3, 2), and (-1, 1). An altitude is drawn from point T to point U at (-1, 2).

Learn more about the triangle here:

brainly.com/question/25813512

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