Area of Triangles

Front

What is the formula to calculate the area of a triangle?

Back

Area = 1/2 × base × height

Front

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

Back

Area = 1/2 × 10 × 5 = 25 units²

Front

What is the area of a triangle with a base of 8 cm and a height of 3 cm?

Back

Area = 1/2 × 8 × 3 = 12 cm²

Front

What does 'base' refer to in the context of a triangle?

Back

The base is any side of the triangle, often the one at the bottom when drawn.

Front

What does 'height' refer to in the context of a triangle?

Back

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

Front

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

Back

Increasing the height increases the area, while decreasing the height decreases the area.

Front

If a triangle has an area of 30 units² and a base of 10 units, what is the height?

Back

Height = (Area × 2) / base = (30 × 2) / 10 = 6 units

Front

What is the area of a triangle with a base of 14 ft and a height of 4 ft?

Back

Area = 1/2 × 14 × 4 = 28 ft²

Front

What is the area of a triangle with a base of 6 in and a height of 2 in?

Back

Area = 1/2 × 6 × 2 = 6 in²

Front

If a triangle has a base of 12 cm and an area of 48 cm², what is the height?

Back

Height = (Area × 2) / base = (48 × 2) / 12 = 8 cm