in a triangle if DE// BC and AD=1cm , BD =2cm. what is the ratio of the two triangles
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I think the ratio of both triangle is 1:3
bhavya4466:
how
because ab/ad=ac/ae then
Answered by
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the answer is 9:1 its from the marking scheme so its correct
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
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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