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31 Jan 2023, 07:01
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Difficulty:
65%
(hard)
Question Stats:
40% (01:14) correct
60%
(01:53)
wrong
based on 53
sessions
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The midpoints of 3 sides of the triangle ABC are respectively D, E, F. What is the perimeter of triangle ABC?
(1) The perimeter of the triangle DEF is 10
(2) The length of the side AC is 4
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23 Feb 2023, 10:18
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The midpoints of 3 sides of the triangle ABC are respectively D, E, F. What is the perimeter of triangle ABC?
From basic proportionality theorem(BPT) and converse of BPT, we know that DE// BC; DF//AC and EF//AB
Also, BC = 2DE; AC =2DF; AB = 2EF.
We need to find AB + BC + CA = 2 (DE+DF+EF)
(1) The perimeter of the triangle DEF is 10
Sufficient.
(2) The length of the side AC is 4
From this we can't find the values of the other two sides. Not Sufficient.
Answer A
From basic proportionality theorem(BPT) and converse of BPT, we know that DE// BC; DF//AC and EF//AB
Also, BC = 2DE; AC =2DF; AB = 2EF.
We need to find AB + BC + CA = 2 (DE+DF+EF)
(1) The perimeter of the triangle DEF is 10
Sufficient.
(2) The length of the side AC is 4
From this we can't find the values of the other two sides. Not Sufficient.
Answer A
08 Mar 2023, 11:28
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Bunuel
can you explain this ques ?
can you explain this ques ?
