Question

Please help I need this soon

Answer 1

Option (3) will be the answer.

Explanation:

Area of a triangle =
`(1)/(2)(\text{Base})* (\text{Height})`

=
`(1)/(2)(AB)(CD)`

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)/(BC)`

`(√(3))/(2)=(CD)/(12)`

CD = 6√3

Now area of ΔABC =
`(1)/(2)(6√(3))(12)`

=
`36√(3)`

= 62.35

≈ 62.4 square units

Therefore, Option (3) will be the answer.