Copy of Area of a Rhombus
Take a few minutes to interact with the GeoGebra applet below.
After doing so, please answer the questions that follow.
Note:
The pink slider controls the size of the angle with pink vertex.
1.
When the triangular sections of the rhombus have been rearranged, what shape has been created?
2.
Suppose, in the applet above, the segment with single-tick label has a length of 3 cm. Suppose the segment with the double-tick label has a length of 8 cm. What would the length and width of the shape be?
Watch the video below that summarises what you have just shown using the applet.
Quick (Silent) Demo
3.
The longer diagonal of a rhombus is 10 cm and the shorter diagonal is 6 cm. What will be the length and width of the rectangle that could be created using the method above?
4.
Suppose a rhombus has diagonal lengths labeled and . Write an expression for the area of this rhombus in terms of & .