Posted by Rachel on .
Two sides of a rhombus form a 120º angle. The length of each side is 6 in. Explain how to find the area of the rhombus, and then calculate the area. Leave your answer in simplest radical form.
If two angles are 120, then the other two must total 360-2*120 = 120
So each other angle is 60.
When you draw diagonals in a rhombus, they form right angles at their intersection.
So, what we have after we draw in the diagonals, is 4 triangles. Each triangle is 30-60-90. And the hypotenuse is 6.
Using the properties of a 30-60-90 you can get the length of the other two legs.
Once you have that info, finding the area is easy A=bh/2
Since you have 4 congruent triangles, the total area is 4 times the area of a single triangle
i have the same question in my class too so thank you
If X = 9 cm and Z = 15 cm, what is the length of Y