Area of triangles and quadrilaterals

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 quadrilateral?

Back

Area = base * height (for rectangles) or Area = (d1 * d2) / 2 (for kites)

Front

How do you find the height of a triangle if the area and base are known?

Back

Height = (2 * Area) / base

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 * 5 = 25 cm²

Front

If a kite has diagonals d1 and d2, what is the formula for its area?

Back

Area = (d1 * d2) / 2

Front

What is the area of a triangle with a base of 8 m and a height of 6 m?

Back

Area = 1/2 * 8 * 6 = 24 m²

Front

What is the area of a rectangle with a length of 10 m and a width of 4 m?

Back

Area = length * width = 10 * 4 = 40 m²

Front

If the area of a triangle is 30 cm² and the base is 10 cm, what is the height?

Back

Height = (2 * 30) / 10 = 6 cm

Front

What is the area of a triangle with sides measuring 7 cm, 8 cm, and 9 cm? (Use Heron's formula)

Back

Area = √[s(s-a)(s-b)(s-c)], where s = (7+8+9)/2 = 12; Area = √[12(12-7)(12-8)(12-9)] = 26.83 cm²

Front

What is the area of a kite with diagonals measuring 10 mm and 12 mm?

Back

Area = (10 * 12) / 2 = 60 mm²