FeynmanD266451 FeynmanD266451
  • 25-10-2022
  • Mathematics
contestada

In Triangle NOP, n = 7.4 cm, o = 8.7 cm and Angle P=61°. Find the area of Triangle NOP, to the nearest10th of a square centimeter.

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DeangelaY200640 DeangelaY200640
  • 25-10-2022

We have that the area of a triangle using two sides and the angle between those sides can be determined using the following expression:

[tex]A=ab\frac{\sin (\theta)}{2}[/tex]

Now, we replace and operate:

[tex]A=(7.4)(8.7)\frac{\sin(61)}{2}\Rightarrow A\approx28.2[/tex]

So, the area of the triangle is approximately 28.2 squared centimeters.

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