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Trigonometry
Objective: Use trigonometry functions to find the area of triangles.

In an isosceles Δ, the two equal sides each measure 8 meters, and they include an angle of 27*. Find the area of the isosceles triangle, to the nearest square meter.

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Respuesta :

Answer:

Step-by-step explanation:

let ABC be a Δ with AB=AC=8 m

Draw a ⊥ CD from C on AB.

[tex]\frac{CD}{AC} =sin27\\CD=8 \times sin 27\\area=\frac{1}{2} \times AB \times CD ~sin~27\\=\frac{1}{2} \times~8 \times ~8~sin~27\\=32~sin~27\\\approx 14.527\\\approx 15 ~sq .m.[/tex]

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