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

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Answer 1 · 2018-02-25T14:03:13

As detailed below.

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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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