Find the area of the rhombus. Leave your answer in simplest radical form.
A rhombus is shown with its diagonals. The segment from the diagonal intersect to the right vertex is 6. The angle formed at the left vertex by the diagonal with the top left side is 60 degrees.
(1 point)
Responses
12Start Root 3 End Root
12 Image with alt text: Start Root 3 End Root
36Start Root 6 End Root
36 Image with alt text: Start Root 6 End Root
72
72
72Start Root 3 End Root
The area of a rhombus can be found by multiplying the length of the two diagonals and dividing by 2.
In this case, the length of the diagonals are 6 and 6√3. So, the area would be:
(6)(6√3)/2 = 36√3/2 = 18√3
Therefore, the area of the rhombus is 18√3.