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Tricks to Find Area of Triangle Video Lecture | Mathematics for Grade 10

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FAQs on Tricks to Find Area of Triangle Video Lecture - Mathematics for Grade 10

1. What is the formula to find the area of a triangle in coordinate geometry?
Ans. The formula to find the area of a triangle in coordinate geometry is given by: Area = 1/2 * |(x1 * (y2 - y3)) + (x2 * (y3 - y1)) + (x3 * (y1 - y2))| where (x1, y1), (x2, y2), and (x3, y3) are the coordinates of the three vertices of the triangle.
2. How do you find the area of a triangle if the coordinates of its vertices are given?
Ans. To find the area of a triangle when the coordinates of its vertices are given, you can use the formula mentioned above. Simply substitute the coordinates of the vertices into the formula and calculate the area.
3. Can the area of a triangle in coordinate geometry be negative?
Ans. No, the area of a triangle in coordinate geometry cannot be negative. The absolute value is taken in the formula to ensure that the area is always positive. If the calculation results in a negative value, taking the absolute value will give the correct area.
4. Is it necessary to use the absolute value in the formula to find the area of a triangle in coordinate geometry?
Ans. Yes, it is necessary to use the absolute value in the formula to find the area of a triangle in coordinate geometry. This is because the area of a triangle is always positive, regardless of the orientation of the triangle. Taking the absolute value ensures that the calculated area is correct.
5. Can the formula to find the area of a triangle in coordinate geometry be applied to any type of triangle?
Ans. Yes, the formula to find the area of a triangle in coordinate geometry can be applied to any type of triangle, whether it is scalene, isosceles, or equilateral. The formula relies on the coordinates of the vertices, which can be used for any triangle, regardless of its shape or size.
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