Answer:
about 77 cm^2
Step-by-step explanation:
From 3 sides, the area of a triangle is conveniently calculated using Heron's formula:
A = √(s(s -a)(s -b)(s -c))
where s is the semi-perimeter: s = (a+b+c)/2.
For the given values of a, b, c, we have ...
s = (a+b+c)/2 = (18 +11 +14)/2 = 21.5
A = √(21.5·3.5·10.5·7.5) = √5925.9375
A ≈ 76.9801 . . . cm^2
The area is about 77 square centimeters.
Based on the knowledge of <em>trigonometric</em> expressions and properties of <em>trigonometric</em> functions, the value of the <em>sine</em> function is equal to - √731 / 30.
<h3>How to find the value of a trigonometric function</h3>Herein we must make use of <em>trigonometric</em> expressions and properties of <em>trigonometric</em> functions to find the right value. According to trigonometry, both cosine and sine are <em>negative</em> in the <em>third</em> quadrant. Thus, by using the <em>fundamental trigonometric</em> expression (sin² α + cos² α = 1) and substituting all known terms we find that:
sin θ ≈ - √731 / 30
Based on the knowledge of <em>trigonometric</em> expressions and properties of <em>trigonometric</em> functions, the value of the <em>sine</em> function is equal to - √731 / 30.
To learn more on trigonometric functions: brainly.com/question/6904750
#SPJ1
