Area of Triangles

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 × base × height

Front

Define 'base' in the context of a triangle.

Back

The base of a triangle is any one of its sides, typically the one on which the triangle is considered to be standing.

Front

What does 'height' refer to in a triangle?

Back

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

Front

Calculate the area of a triangle with a base of 10 units and a height of 5 units.

Back

Area = 1/2 × 10 × 5 = 25 units²

Front

If the base of a triangle is doubled, how does that affect the area?

Back

The area of the triangle also doubles, assuming the height remains the same.

Front

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

Back

Area = 1/2 × 8 × 3 = 12 units²

Front

Explain how to find the height of a triangle when the area and base are known.

Back

Rearrange the area formula: height = (Area × 2) / base.

Front

What is the area of a triangle with a base of 6 units and a height of 4 units?

Back

Area = 1/2 × 6 × 4 = 12 units²

Front

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

Back

Height = (30 × 2) / 10 = 6 units.

Front

What is the area of a triangle with a base of 12 units and a height of 5 units?

Back

Area = 1/2 × 12 × 5 = 30 units²