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Trigonometry

Objective: Use trigonometry functions to find the area of triangles.
In ΔEFG, EF=5, EG=8, and m< E=22*. Find the area of ΔEFG, to the nearest tenth of a square unit.

User Nivniv
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1 Answer

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The area of the triangle EFG is 7.4 square units.

Step-by-step explanation:

Given that the measurements of the sides of the triangle are EF = 8, EG = 8 and
m\angle E=22^(\circ)

We need to determine the area of the triangle EFG

Area of the triangle:

The area of the triangle EFG can be determined using the formula,


\text {Area}=(1)/(2) fg \sin E

Substituting the values, we get,


\text {Area}=(1)/(2) (5)(8) \sin 22^(\circ)

Simplifying the values, we have,


\text {Area}=(1)/(2)(40)(0.37)

Multiplying, we get,


\text {Area}=(14.8)/(2)

Dividing, we get,


\text {Area}=7.4

Hence, the area of the triangle EFG is 7.4 square units.