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In ΔEFG, g = 12 inches, e = 55 inches and ∠F=75°. Find the area of ΔEFG, to the nearest square inch.

Sagot :

Answer:

319

Step-by-step explanation:

\text{Area of a Triangle}\rightarrow \text{S.A.S.}

Area of a Triangle→S.A.S.

\text{Area}=\frac{1}{2}ab\sin C

Area=

2

1

absinC

From reference sheet.

\text{Area}=\frac{1}{2}(12)(55)\sin 75

Area=

2

1

(12)(55)sin75

Plug in values.

\text{Area}\approx318.756\approx 319

Area≈318.756≈31