What is the are of triangle ABC if AB is tangent to the circle?

Question

anonymous · Answer

|dw:1391507919743:dw|

yttrium · Answer

|dw:1391508072949:dw|
It means that <A is 90 degrees. With that clues, can you solve now the area?

anonymous · Answer

No, sorry I'm not that good in Math :(

anonymous · Answer

viva mapua

anonymous · Answer

Lol haha

yttrium · Answer

With that clue, you can use the pythagorean identity to solve the height (h).
Since the base is already given. AC = 3
We can solve for the height AB by using tangent identity.
tanx = opp/adj
tan 60 = AB/3
Therefore,
h = AB = 3tan60
use your calculator so tolve AB.
Then the area is now
$$A = \frac{ bh }{ 2 }$$
$$A = \frac{ 3(3\tan60) }{ 2 }$$

anonymous · Answer

7.79

anonymous · Answer

$$
\tan (60 {}^{\circ})=\sqrt{3}=\frac{\text{AB}}{3}\
AB = 3 \sqrt 3
$$