Area of Triangles

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

Front

What units are used to measure the area of a triangle?

Back

Area is measured in square units, such as square inches (in²), square feet (ft²), square meters (m²), etc.

Front

If the base of a triangle is 8 inches and the height is 3 inches, what is the area?

Back

Area = 1/2 * base * height = 1/2 * 8 * 3 = 12 square inches.

Front

How does changing the height of a triangle affect its area?

Back

Increasing the height of a triangle while keeping the base constant will increase the area, while decreasing the height will decrease the area.

Front

What is the area of a triangle with a base of 5 units and a height of 4 units?

Back

Area = 1/2 * base * height = 1/2 * 5 * 4 = 10 square units.

Front

What is the area of a triangle with a base of 10 yards and a height of 8 yards?

Back

Area = 1/2 * base * height = 1/2 * 10 * 8 = 40 square yards.

Front

If a triangle has an area of 6 square inches, what could be its possible dimensions?

Back

Possible dimensions could include a base of 3 inches and a height of 4 inches, or a base of 6 inches and a height of 2 inches.

Front

What is the area of a triangle with a base of 10 feet and a height of 10 feet?

Back

Area = 1/2 * base * height = 1/2 * 10 * 10 = 50 square feet.

Front

What is the relationship between the base and height of a triangle in calculating its area?

Back

The area of a triangle is directly proportional to both the base and the height; if either increases, the area increases.

Front

Can the area of a triangle be negative?

Back

No, the area of a triangle cannot be negative; it is always a non-negative value.