The rhombus
is a parallelogram and so, to find its area, we can multiply its base
by its perpendicular height.
However, if we know its diagonals insread of its base and height, we can
use another formula. You have to deduce that formula.
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Drag
the rhombus to the right. An uncoloured rhombus divided into four
rectangles will appear underneath.
Take
each of these triangles next to the rhombus in such a way that all
together, they form a rectangle.
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- What
is the relation between the resulting rectangle and the rhombus?
- What
are the measurement of the diagonals of the rhombus equivalent
in the rectangle?
- What
is the
relation
between the area of the rhombus and the rectangle area?
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With this information, deduce the formula for the area of the rhombus
knowing its diagonals. Write it down in your notebook.
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