+43 Use Heron's Area Formula to find the area of the triangle. (Round your answer to two decimal places.)
A = 79°, b = 77, c = 41
+36916 First you will need to use law of cosines t o fine the length of side a ( do you know how to do that?)
a^2 = b^2 + c^2 - 2(b)(c)cos 79
do that first then use Heron's formula
Step 1: Calculate "s" (half of the triangles perimeter):
s = (a+b+c)/2
Step 2: Then calculate the Area: Area = sqrt [ s (s-a)(s-b)(s-c) ]
+128578 We don't really need Heron's Formula ( unless you're a glutton for punishment .....)
We know two sides and an included angle between these sides
Area = (1/2) product of the sides * sine of the included angle
So
Area = (1/2) bc *sin A
Area = (1/2) (77 * 41) sin 79° = 1549 (sq units)
