Answer:
62.35
Step-by-step explanation:
Triangle ABC is an isosceles triangle. That means Side CA equals Side CB.
Drawing an altitude line from point A, it divides Side CB into halves. 1/2 of 12 = 6. (Let's call that point M)
Side AM^2 = AC^2 - CM^2
---------------------> 12^2 - 6^2 = 144 -36 = 108
AM = [tex]\sqrt{108}[/tex] = 6[tex]\sqrt{3}[/tex]
To find the area: CB * AM * 1/2
---------------------> 12 * 6[tex]\sqrt{3}[/tex] * 1/2 = 36[tex]\sqrt{3}[/tex]
36[tex]\sqrt{3}[/tex] as a decimal is approximately 62.35
