Area of a triangle

Front

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

Back

Area = 1/2 × base × height

Tags

CCSS.6.G.A.1

Front

What is the base of a triangle?

Back

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

Front

What is the height of a triangle?

Back

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

Front

If a triangle has a base of 6 cm and a height of 4 cm, what is its area?

Back

Area = 1/2 × 6 cm × 4 cm = 12 cm²

Tags

CCSS.6.G.A.1

Front

What happens to the area of a triangle if the base is doubled?

Back

The area will also double, assuming the height remains the same.

Tags

CCSS.6.G.A.1

Front

What happens to the area of a triangle if the height is halved?

Back

The area will be halved, assuming the base remains the same.

Tags

CCSS.6.G.A.1

Front

Can a triangle have an area of 0?

Back

Yes, if the height is 0 or if all three points are collinear.

Tags

CCSS.6.G.A.1

Front

What is the area of a triangle with a base of 10 cm and a height of 5 cm?

Back

Area = 1/2 × 10 cm × 5 cm = 25 cm²

Tags

CCSS.6.G.A.1

Front

If a triangle has an area of 18 cm² and a base of 6 cm, what is the height?

Back

Height = (Area × 2) / base = (18 cm² × 2) / 6 cm = 6 cm

Tags

CCSS.6.G.A.1

Front

What is the relationship between the area of a triangle and its sides?

Back

The area can also be calculated using Heron's formula if the lengths of all three sides are known.

Tags

CCSS.6.G.A.1