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torisob [31]
2 years ago
10

Given a triangle with two sides that measure 14.5 yd and 9 yd and an included angle of 106°, find the area of the triangle. Roun

d your answer to the nearest whole square yard.
Mathematics
1 answer:
notsponge [240]2 years ago
4 0

Answer:

63 yd²

Step-by-step explanation:

Use the formula:

\text{area of triangle} = \frac{1}{2} \times \text{side}_1 \times \text{side}_2 \times \sin{(\text{includ\e ed angle})}

<u>Given:</u>

side₁ = 14.5 yd

side₂ = 9 yd

included angle = 106°

Insert values in formula.

\text{area of triangle} = \frac{1}{2} \times \text{side}_1 \times \text{side}_2 \times \sin{(\text{includ\e ed angle})}

\text{area of triangle} = \frac{1}{2} \times 14.5 \text{ yd} \times 9 \text{ yd}  \times \sin{(106^\circ)}

\text{area of triangle} = 65.25  \times \sin{(106^\circ)}  \text{ yd}^2

\text{area of triangle} \approx 62.7222  \text{ yd}^2

Rounded to the nearest whole square yard:

\text{area of triangle} = 63  \text{ yd}^2

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