Use the distance formula and/or the Pythagorean Theorem to find the area of the triangle.
1 answer:
Answer:
<h2>B. 20.5 square units</h2>Step-by-step explanation:
Area of a triangle = 1/2 * Base * Height
For the given triangle, the value for the sides will be the distance between adjacent points on the triangle. Look at the attached file for the explanation of the diagram.
Using the formula for finding the distance between two points to get the base and the height of the triangle.
D = √(x2-x1)²+(y2-y1)²
For side AB where A = (-3, -4) and B(2, 0)
AB = √(2-(-3))²+(0-(-4))²
AB = √5²+4²
AB = √25+16
AB = √41
AB = Height
For side BC where B = (2, 0) and C = (6, -5)
√(x2-x1)²+(y2-y1)²
BC = √6-2)²+(-5-0)²
BC= √4²+(-5)²
BC = √16+25
BC= √41
BC = base of the triangle
Area of the triangle = 1/2 * √41 * √41
Area of the triangle = 1/2 * 41
Area of the triangle =20.5square units
You might be interested in
Answer:
400 square meters
Step-by-step explanation:
We can first solve this problem with each unit representing 1 centimeter, and then scale up at the very end. The shape that we have a parallelogram. The base is 8 cm, and the height is 2 cm. The formula for the area of a parallelogram is just , so the area of the parallelogram is 16 square centimeters. However, now we scale up. Since each centimeter correlates to 5 meters, each little box will correlate to 25 square meters. Therefore,
square meters is our answer