Find the area of triangle RST with vertices R(3, -1), S(7, 5), and T(3, 4).
Options
A
10 square units
B
20 square units
C
40 square units
D
80 square units
Answer & Analysis
Answer
A
Analysis
Question Analysis
The main focus is determining the base and height of the triangle from the given vertex coordinates and applying the triangle area formula .
Key Concept Explanation
The area formula for a triangle is , where is the base and is the height. In a coordinate plane, when two points share the same - coordinate, the vertical distance between them can be the height, and when two points share the same - coordinate, the horizontal distance can be the base.
Step - by - Step Solution
1. Observe that points and have the same - coordinate. The height is .
2. Points
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