How do you solve the triangle ABC given a=7, b=3, c=9?

1 Answer
Feb 25, 2018

Answer:

As detailed below.

Explanation:

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Steps 1 : Find the area of the triangle, having known three sides,

using formula #A_t = sqrt(s (s-a) (s - b) (s - c))# where is the semi

perimeter of the triangle.#s = (a + b + c) / 2#

Step 2 : with #A_t# known, Find one of the angles #hatA# using area formula for two sides and the included angle

#A_t = (1/2) b c sin A#

Step 3 : Apply Law of Ines to find the remaining two angles #hat B, hat C#

#color(white)(aaa aaaaaaa# Law of Sines
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