Question

trevor is going to make a triangular garden plot for some flowers. since each flower needs to have space to grow, he wants to know the area of his garden plot. the lengths of each of the sides and angle measures he wants his garden to have are in the diagram below. use the side lengths to find the area of the garden plot. round your answer to the nearest tenth.

area = \text{ ft}^2

Explanation:

Identificar los datos del triángulo

Para calcular el área del jardín triangular, identificamos las longitudes de los lados proporcionadas en el diagrama:

• Lado \(a = 3.2\text{ ft}\)
• Lado \(b = 4.1\text{ ft}\)
• Lado \(c = 5.3\text{ ft}\)
• Ángulo entre \(a\) y \(b\) es \(C = 92.3^\circ\)

Aplicar la fórmula trigonométrica del área

Using the Área de un triángulo knowledge point

$$ \text{Área} = \frac{1}{2} \cdot a \cdot b \cdot \sin(C) $$

Calcular el valor numérico

Using the Área de un triángulo knowledge point

$$
LATEXBLOCK0
$$

Answer:

Use the side lengths to find the area of the garden plot. Round your answer to the nearest tenth.

Area = <blank>\(6.6\)</blank> \(\text{ft}^2\)