KilanZ437293 KilanZ437293
  • 25-10-2022
  • Mathematics
contestada

In trIangle OPQ, p = 3.4 cm, q = 3.2 cm and angle 0=99º. Find the area of Triangle OPQ, to the nearest10th of a square centimeter.

Respuesta :

LaileyS458216 LaileyS458216
  • 25-10-2022

we know that

The area of a triangle applying the law of sines is equal to

[tex]A=\frac{1}{2}\cdot p\cdot q\cdot\sin (O)[/tex]

substitute the given values

[tex]\begin{gathered} A=\frac{1}{2}\cdot3.4\cdot3.2\cdot\sin (99^o) \\ A=5.37\text{ cm\textasciicircum{}2} \end{gathered}[/tex]

the answer is

5.37 square centimeters

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