Can some one explain how to do this?
1 answer:
Answer:
see explanation
Step-by-step explanation:
Using the tangent and sine ratios in the right triangle EFG
tan60° = =
=
( multiply both sides by EG )
EG × tan60° = 28 ( divide both sides by tan60° )
EG = ≈ 16.2 in ( to the nearest tenth )
--------------------------------------------------------------
sin60° = =
=
( multiply both sides by EF )
EF × sin60° = 28 ( divide both sides by sin60° )
EF = ≈ 32.3 in ( to the nearest tenth )
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Similar polygons only differ by a scaling factor. In other words, two polygons are similar if one is the scaled version of the other.
In particular, this implies that the angles are preserved, and the correspondent sides are in proportion.
These two polygons are both rectangles, so the angles are preserved. We must check the sides, and we have to check if the smaller sides are in the same proportion as the bigger sides.
So, the two rectangles are similar if the following is true.
In any proportion, the product of the inner terms must be the same as the product of the outer terms:
This is clearly false, and thus the two rectangles are not similar.