To find the area of a non-right triangle by composing a rectangle and decomposing it into triangles, follow these steps:
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Identify the Base and Height: First, determine the base of the triangle. Then, identify the height by finding the perpendicular distance from the base to the opposite vertex of the triangle.
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Compose the Rectangle: Visualize or draw a rectangle that includes the triangle. The rectangle's dimensions can be based on the base and height of the triangle.
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Calculate the Area of the Rectangle: Use the formula for the area of a rectangle, \( A_{\text{rectangle}} = \text{base} \times \text{height} \).
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Decompose the Rectangle: The triangle can be seen as half of the rectangle if the triangle's base and height equal those of the rectangle.
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Calculate the Area of the Triangle: The area of the triangle can be calculated using the formula: \[ A_{\text{triangle}} = \frac{1}{2} \times \text{base} \times \text{height} \] where the base and height correspond to the dimensions mentioned in step 1.
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Final Calculation: If you already calculated the rectangle, you could also think of the area of the triangle as half of that rectangle's area.
If you provide specific dimensions from your grid and triangle, I can help you compute the exact area!