Explain the area formula for the following triangle. A. In particular explain how the formula for the area of a triangle is related to the formula for the area of the parallelogram? B. Explain why shearing certain shapes does not change their area? First explain what "shearing" means? How is this related to the formulas we have for a triangle and a parallelogram?
Explain the area formula for the following triangle. A. In particular explain how the formula for the area of a triangle is related to the formula for the area of the parallelogram? B. Explain why shearing certain shapes does not change their area? First explain what "shearing" means? How is this related to the formulas we have for a triangle and a parallelogram?
Explain the area formula for the following triangle. A. In particular explain how the formula for the area of a triangle is related to the formula for the area of the parallelogram? B. Explain why shearing certain shapes does not change their area? First explain what "shearing" means? How is this related to the formulas we have for a triangle and a parallelogram?
Explain the area formula for the following triangle.
A. In particular explain how the formula for the area of a triangle is related to the formula for the area of the parallelogram?
B. Explain why shearing certain shapes does not change their area? First explain what "shearing" means? How is this related to the formulas we have for a triangle and a parallelogram?
Transcribed Image Text:## Understanding the Area Formula for Triangles
### 7. Explain the Area Formula for the Following Triangle
**a. Relation to the Parallelogram:**
In particular, explain how the formula for the area of a triangle is related to the formula for the area of a parallelogram.
**b. Shearing and Area Preservation:**
Explain why shearing certain shapes does not change their area. First, explain what "shearing" means. How is this related to the formulas we have for a triangle and a parallelogram?
### Diagram Explanation
The diagram depicts a triangle. Here's a breakdown:
- **Base:** Represented by the red line at the bottom of the triangle.
- **Perpendicular Height:** Shown by the dotted line extending from a vertex perpendicular to the base.
This visualization helps in understanding how the area is calculated using base and height.
Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
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