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 meters (m²), square kilometers (km²), or square feet (ft²).

Front

If the base of a triangle is 5 units and the height is 10 units, what is the area?

Back

Area = 1/2 * base * height = 1/2 * 5 * 10 = 25 units².

Front

What is the height of a triangle?

Back

The height of a triangle is the perpendicular distance from the base to the opposite vertex.

Front

How do you find the area of a triangle when only the lengths of the sides are known?

Back

Use Heron's formula: Area = √[s(s-a)(s-b)(s-c)], where s = (a+b+c)/2 and a, b, c are the lengths of the sides.

Front

What is Heron's formula used for?

Back

Heron's formula is used to calculate the area of a triangle when the lengths of all three sides are known.

Front

What is the relationship between the base and height of a triangle?

Back

The base and height of a triangle are used together to calculate the area; the height must be perpendicular to the base.

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 12 m and a height of 8 m?

Back

Area = 1/2 * base * height = 1/2 * 12 * 8 = 48 m².

Front

What is the significance of the base in calculating the area of a triangle?

Back

The base is one side of the triangle used in conjunction with the height to determine the area.