Area of Triangles and Trapezoids

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height

Front

What is the formula for the area of a trapezoid?

Back

Area = 1/2 * (base1 + base2) * height

Front

How do you find 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

Front

If a trapezoid has bases of 8 ft and 12 ft and a height of 4 ft, what is its area?

Back

Area = 1/2 * (8 ft + 12 ft) * 4 ft = 40 ft²

Front

What units are used to measure area?

Back

Square units (e.g., cm², m², ft²)

Front

What is the area of a triangle with a base of 6 in and a height of 10 in?

Back

Area = 1/2 * 6 in * 10 in = 30 in²

Front

What is the area of a trapezoid with bases of 5 m and 15 m and a height of 3 m?

Back

Area = 1/2 * (5 m + 15 m) * 3 m = 30 m²

Front

What is the significance of the height in calculating the area of triangles and trapezoids?

Back

The height is the perpendicular distance from the base to the opposite vertex (triangle) or the distance between the bases (trapezoid).

Front

How does changing the base of a triangle affect its area?

Back

Increasing the base while keeping the height constant increases the area, and vice versa.

Front

How does changing the height of a trapezoid affect its area?

Back

Increasing the height while keeping the bases constant increases the area, and vice versa.