viktoriasudilovskaya viktoriasudilovskaya
  • 26-03-2021
  • Mathematics
contestada

In ΔEFG, g = 53 inches, e = 65 inches and ∠F=117°. Find the area of ΔEFG, to the nearest square inch.

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 31-03-2021

Answer:

[tex]Area \approx 1535\ in^2[/tex]

Step-by-step explanation:

Given

[tex]g = 53[/tex]

[tex]e =65[/tex]

[tex]F = 117[/tex]

Required

Determine the area

The area is calculated as:

[tex]Area = \frac{1}{2}absinC[/tex]

In this case, it is:

[tex]Area = \frac{1}{2}egsinF[/tex]

So:

[tex]Area = \frac{1}{2} * 65 * 53 * sin(117)[/tex]

[tex]Area = \frac{1}{2} * 65 * 53 * 0.8910[/tex]

[tex]Area = 1534.7475[/tex]

[tex]Area \approx 1535\ in^2[/tex]

Answer Link
loveblue0706
loveblue0706 loveblue0706
  • 17-04-2022

Answer:

1535

Step-by-step explanation:

deltamath

Answer Link

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