Area of a Triangle

Front

What is the formula for the area of a triangle?

Back

A = 1/2 bh, where A is the area, b is the base, and h is the height.

Front

Find the area of a triangle with a base of 10 units and a height of 12 units.

Back

60 units²

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

If a triangle has a base of 8 cm and a height of 5 cm, what is its area?

Back

20 cm²

Front

What is the area of a triangle with a base of 14 in and a height of 6 in?

Back

42 in²

Front

How do you find the area of a triangle if you only know the lengths of all three sides?

Back

Use Heron's formula: A = √[s(s-a)(s-b)(s-c)], where s is the semi-perimeter.

Front

What is the semi-perimeter of a triangle?

Back

The semi-perimeter is half the sum of the lengths of the sides: s = (a + b + c) / 2.

Front

Find the area of a triangle with sides of 7 cm, 8 cm, and 9 cm using Heron's formula.

Back

Area = 26.83 cm² (approximately).

Front

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

Back

The area increases with height; if the base remains constant, doubling the height doubles the area.