Could I please get help with my last statements reasoning? I have tried multiple reasons but still could not get the reasoning r
ight
1 answer:
You have the next:
Side AB is congruent with side CD
Side AC is congruent with side AC
Angle BAC is congruent with angle DCA
SAS congruence of triangles: If any two sides and included angle (angle between those sides) of one triangle are equal to corresponding two sides and included angle of second triangle, then the two triangles are condruent by SAS rule
Angle BAC is the included angle of sides AB and AC in triangle ABC
Angle DCA is the included angle of sides CD and AC in triangle CDA
Then,
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The length of the rectangle is = 72 cm
The width of the rectangle is = 56 cm
Area of the rectangle is =
= cm²
As given, the other rectangle has the same area as this one, but its width is 21 cm.
Let the length here be = x
Hence, length is 192 cm.
We can see that as width decreases, the length increases if area is constant and when length decreases then width increases if area is constant.
So, in the new rectangle,constant of variation=k is given by,
or
Hence, the constant of variation is