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Area of a Triangle Video Lecture - Class 7

FAQs on Area of a Triangle Video Lecture - Class 7

1. What is the formula to find the area of a triangle?

Ans. The formula to find the area of a triangle is A = (1/2) × base × height, where A represents the area, base represents the length of the base of the triangle, and height represents the perpendicular distance from the base to the opposite vertex.

2. How do you find the base or height of a triangle if it is not given?

Ans. If the base or height of a triangle is not given, you can use other provided information to calculate it. For example, if you know the lengths of all three sides of the triangle, you can use Heron's formula or the Pythagorean theorem to find the missing values. Alternatively, if you know the lengths of two sides and the included angle, you can use the formula A = (1/2) × a × b × sin(C) to find the area, where a and b are the lengths of the two sides and C is the included angle.

3. Can the area of a triangle be negative?

Ans. No, the area of a triangle cannot be negative. Area is a measure of the extent or size of a shape, and it is always positive or zero. In the case of a triangle, the area will be zero if the base or height is zero, resulting in a degenerate triangle that is essentially a straight line.

4. What are the units of measurement for the area of a triangle?

Ans. The units of measurement for the area of a triangle depend on the units used for the base and height. If the base and height are both measured in meters, for example, the area will be in square meters (m²). Similarly, if the base and height are measured in inches, the area will be in square inches (in²).

5. How do you find the area of an irregular triangle?

Ans. To find the area of an irregular triangle, you can divide it into smaller, simpler shapes whose areas can be easily calculated. For example, you can divide the triangle into smaller right triangles or rectangles and find their individual areas. Then, you can sum up the areas of these smaller shapes to find the total area of the irregular triangle.

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