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.

Question

asked Dec 3, 2023 94.1k views

1 Answer

Pablo Alsina · Answer 1 · 2023-12-07T08:36:53+0000

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

$A=ab(\sin (\theta))/(2)$

Now, we replace and operate:

$A=(7.4)(8.7)(\sin(61))/(2)\Rightarrow A\approx28.2$

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