Question

HELP PLEASE!!!
Look at the rhombus ABCD shown below. http://go.flvs.net/courses/1/flvs_57_3641_12676/ppg/respondus/pool_Geom_3641_0709_03/image0054e610d2b.jpg Using complete sentences, explain how the formula for the area of rhombus ABCD is derived.

Answer 1

You can see that the rhombus consists of two identical triangles. The area of a triangle is base times height divided by 2. In this case, the base is d1 and the height is half of d2. So the area of the triangle is (d1*d2)/4. But since you have two triangles, it's:

2 * (d1*d2)/4 = (d1*d2)/2

Answer 2

finding the area of that rhombus is the same as finding the area of that rectangle because of its symmetry...