What is the area of triangle ABC? Select the correct choice.

A: 6sqrt3
B: 18sqrt3
C: 36sqrt3
D: 72sqrt3

C

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = bh ( b is the base and h the perpendicular height )

The triangle is equilateral , since 3 angles = 60°

Then base AB = 12

Find height CD using the sine ratio in the right triangle ( there are 2 )

sin60° = = = = ← exact value of sin60° ( cross- multiply )

2CD = 12 ( divide both sides by 2 )

CD = 6

Then

A = × 12 × 6 = 6 × 6 = 36 units² → C

yes

step-by-step explanation:

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step-by-step explanation: