What is the area of a triangle with vertices at (0, 0), (b, 0), and (0, h)?

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Question: What is the area of a triangle with vertices at (0, 0), (b, 0), and (0, h)?

Options:

Correct Answer: bh/2

Solution:

Area = 1/2 * base * height = 1/2 * b * h = bh/2.

What is the area of a triangle with vertices at (0, 0), (b, 0), and (0, h)?

What is the area of a triangle with vertices at (0, 0), (b, 0), and (0, h)?

Step 1: Identify the vertices of the triangle. The vertices are (0, 0), (b, 0), and (0, h).
Step 2: Determine the base of the triangle. The base is the distance between the points (0, 0) and (b, 0), which is 'b'.
Step 3: Determine the height of the triangle. The height is the distance from the point (0, h) straight down to the base, which is 'h'.
Step 4: Use the formula for the area of a triangle. The formula is Area = 1/2 * base * height.
Step 5: Substitute the values of base and height into the formula. This gives us Area = 1/2 * b * h.
Step 6: Simplify the expression. The area can be written as Area = bh/2.

Area of a Triangle – The area of a triangle can be calculated using the formula Area = 1/2 * base * height, where the base and height are perpendicular to each other.
Coordinate Geometry – Understanding how to identify the base and height of a triangle given its vertices in a coordinate plane.