Perimeter & Area of a Triangle

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 × base × height

Front

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

Back

Area = 1/2 × 10 × 5 = 25 units²

Front

What is the perimeter of a triangle?

Back

Perimeter = sum of the lengths of all three sides.

Front

If a triangle has sides of lengths 3 units, 4 units, and 5 units, what is its perimeter?

Back

Perimeter = 3 + 4 + 5 = 12 units

Front

What is the height of a triangle?

Back

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

Front

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

Back

Use Heron's formula: Area = √[s(s-a)(s-b)(s-c)], where s = (a+b+c)/2.

Front

What is Heron's formula?

Back

Area = √[s(s-a)(s-b)(s-c)], where s = (a+b+c)/2.

Front

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

Back

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

Front

What units are used for area?

Back

Square units (e.g., units², ft², yd²).

Front

What is the relationship between the base and height of a triangle?

Back

The area of a triangle is directly proportional to both the base and height.