if DE is parallel to BC andn AD=1 cm and BD=2 cm. what is the ratio of he area of triangle ABC to the ratio of area of triangle ADE?
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25
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Since DE || BC
, by Thales theorem AD/DB = AE/EC
Therefore, both AD/DB
and
AE/EC = 1: 2
So AD:AB = 1:3
or
AB:AD = 3:1
The triangles are similar by SAS axiom. Hence the areas of the triangles are in the ratio of squares of corresponding sides.
Therefore, the ratio of area of Δ ABC to the area of Δ ADE = 3^2:1^2 = 9:1
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Answered by
13
Answer:
the ratio is 9:1
I hope you understand
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