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If in triangles ABC and DEF, AB/EF = AC/DE, then they will be similar when
- a)∠A = ∠D
- b)∠A = ∠E
- c)∠B = ∠E
- d)∠C = ∠F
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If in triangles ABC and DEF, AB/EF = AC/DE,then they will be similar w...
The altitude divides the opposite side into two equal parts,
Therefore, BD = DC = 4 cm
In triangle ABD
AB2 = AD2 + BD2
82 = AD2 + 42
AD2 = 64 – 16
AD2 = 48
AD = 4√3 cm
Therefore, BD = DC = 4 cm
In triangle ABD
AB2 = AD2 + BD2
82 = AD2 + 42
AD2 = 64 – 16
AD2 = 48
AD = 4√3 cm
Most Upvoted Answer
If in triangles ABC and DEF, AB/EF = AC/DE,then they will be similar w...
You can learn in detail about similarity and congruency of triangles through the chapter:
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If in triangles ABC and DEF, AB/EF = AC/DE,then they will be similar w...
Angle ABC is congruent to angle DEF
b) Angle BAC is congruent to angle EDF
c) Angle ACB is congruent to angle DFE
d) All of the above are true.
The correct answer is d) All of the above are true. For triangles to be similar, the corresponding angles must be congruent and the corresponding sides must be proportional. In this case, we are given that the ratio of AB to EF is equal to the ratio of AC to DE. This means that the corresponding sides are proportional. Additionally, we are given that the angles between these sides are congruent, which means that all three conditions for similarity are satisfied. Therefore, the triangles will be similar.
b) Angle BAC is congruent to angle EDF
c) Angle ACB is congruent to angle DFE
d) All of the above are true.
The correct answer is d) All of the above are true. For triangles to be similar, the corresponding angles must be congruent and the corresponding sides must be proportional. In this case, we are given that the ratio of AB to EF is equal to the ratio of AC to DE. This means that the corresponding sides are proportional. Additionally, we are given that the angles between these sides are congruent, which means that all three conditions for similarity are satisfied. Therefore, the triangles will be similar.
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If in triangles ABC and DEF, AB/EF = AC/DE,then they will be similar whena)∠A = ∠Db)∠A =∠Ec)∠B =∠Ed)∠C =∠FCorrect answer is option 'B'. Can you explain this answer?
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