Area of Triangles

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 × base × height

Front

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

Back

25 cm²

Front

What is the height of a triangle if the area is 30 cm² and the base is 12 cm?

Back

Height = 5 cm (Area = 1/2 × base × height) => 30 = 1/2 × 12 × height

Front

A triangle has an area of 36 in² and a base of 6 in. What is the height?

Back

Height = 12 in (Area = 1/2 × base × height) => 36 = 1/2 × 6 × height

Front

What does 'base' refer to in a triangle?

Back

The base is one side of the triangle, often the bottom side used to calculate area.

Front

What does 'height' refer to in a triangle?

Back

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

Front

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

Back

The area also doubles, since Area = 1/2 × base × height.

Front

If the height of a triangle is halved, how does that affect the area?

Back

The area is also halved, since Area = 1/2 × base × height.

Front

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

Back

12 ft²

Front

A triangle has a base of 4 m and an area of 16 m². What is the height?

Back

Height = 8 m (Area = 1/2 × base × height) => 16 = 1/2 × 4 × height