8. Area of Triangles

Front

What is the formula for calculating the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

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

Back

Area is typically measured in square units, such as square feet (ft²), square meters (m²), or square yards (yd²).

Front

How do you find the base of a triangle when given the area and height?

Back

To find the base, rearrange the area formula: base = (2 * Area) / height.

Front

What is the significance of the height in the area formula for triangles?

Back

The height is the perpendicular distance from the base to the opposite vertex, and it is crucial for accurately calculating the area.

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.

Front

What is the area of a triangle with a base of 6 units and a height of 5 units?

Back

Area = 1/2 * base * height = 1/2 * 6 * 5 = 15 units².

Front

If a triangle has an area of 20 m² and a base of 4 m, what is the height?

Back

Using the area formula: height = (2 * Area) / base = (2 * 20) / 4 = 10 m.

Front

What is the area of an equilateral triangle with a side length of 4 units?

Back

Area = (sqrt(3)/4) * side² = (sqrt(3)/4) * 4² = 4√3 units².

Front

How does the area of a triangle change if the base is doubled while keeping the height constant?

Back

If the base is doubled, the area also doubles, since Area = 1/2 * base * height.

Front

What is the area of a right triangle with legs of length 3 units and 4 units?

Back

Area = 1/2 * base * height = 1/2 * 3 * 4 = 6 units².