Math Problem Statement
What is the area of the triangle shown in the image using the formula: Area of a triangle = base times height divided by 2?
Solution
To find the area of the triangle, we need to use the formula:
From the image, we can count the squares to determine the base and height of the triangle.
- The base of the triangle spans 4 units (4 squares along the grid).
- The height of the triangle is 4 units (from the top vertex straight down to the base).
Now, applying the values to the formula:
Thus, the area of the triangle is 8 square units.
Would you like further details or have any questions?
Here are five related questions you can explore:
- How does changing the height affect the area of the triangle?
- What happens to the area if both the base and height are doubled?
- Can the area formula be applied to triangles that are not right-angled?
- How can we find the area if the triangle is on a slanted grid?
- How do you find the height if it isn't given directly?
Tip: Always ensure that the base and height are perpendicular when using the area formula for a triangle.
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Math Problem Analysis
Mathematical Concepts
Geometry
Area of Triangles
Coordinate Geometry
Formulas
Area of a Triangle = 1/2 * base * height
Theorems
Basic Geometric Theorem for Area Calculation
Suitable Grade Level
Grades 5-7