Answer:
Option (3) will be the answer.
Step-by-step explanation:
Area of a triangle =
=
Since, m∠A + m∠B + m∠C = 180°
60° + 60° + m∠C = 180°
m∠C = 180° - 120°
m∠C = 60°
Therefore, ΔABC is an equilateral triangle.
AB ≅ BC ≅ AC ≅12
Sin 60° =
CD = 6√3
Now area of ΔABC =
=
= 62.35
≈ 62.4 square units
Therefore, Option (3) will be the answer.
Answer:
4.3
Step-by-step explanation:
Apply trigonometric ratios to find the answer.
Firstly, we need to find the measure of angle theta. In order to do this, we will use triangle BAD.
From angle theta, the trigonometric ratio sine can be used:
sinθ =
After we find the value, we take the inverse sine of it and the result is approximately 50.7 degrees.
Now, knowing that angles BAD and CAD are the same, we can solve for CD using trigonometric ratio sine.
sin50.7 = opposite/hypotenuse
sin50.7 = CD/5.5
sin50.7 * 5.5 = CD
4.3 ≈ CD