Subjects geometry

Triangle Area 6A0E79

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1. The problem is to create a geometry paper for 10th grade English medium SSC, similar to SSC format. 2. Since this is a request for a paper format, not a specific math problem, we focus on typical geometry topics: triangles, circles, coordinate geometry, mensuration, and constructions. 3. A sample question could be: "Find the area of a triangle with vertices at points A(1,2), B(4,6), and C(5,2)." 4. The formula for the area of a triangle with vertices $(x_1,y_1)$, $(x_2,y_2)$, and $(x_3,y_3)$ is: $$\text{Area} = \frac{1}{2} \left| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) \right|$$ 5. Substitute the points: $$= \frac{1}{2} |1(6 - 2) + 4(2 - 2) + 5(2 - 6)|$$ 6. Simplify inside the absolute value: $$= \frac{1}{2} |1 \times 4 + 4 \times 0 + 5 \times (-4)| = \frac{1}{2} |4 + 0 - 20| = \frac{1}{2} |-16|$$ 7. Calculate the absolute value and multiply: $$= \frac{1}{2} \times 16 = 8$$ 8. Therefore, the area of the triangle is 8 square units. This is an example of a geometry problem suitable for 10th grade SSC English medium paper.