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15 Jan 2021, 06:30
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
88% (01:23) correct
12%
(02:24)
wrong
based on 73
sessions
History
Date
Time
Result
Not Attempted Yet
In the figure below, triangle ABC and triangle FDE are similar. If the lengths of the sides are indicated in units, how many units long is DE ?
(A) 25
(B) 28
(C) 30
(D) 32
(E) 40
2021-01-15_14-02-39.png [ 29.1 KiB | Viewed 1910 times ]
(A) 25
(B) 28
(C) 30
(D) 32
(E) 40
Attachment:
2021-01-15_14-02-39.png [ 29.1 KiB | Viewed 1910 times ]
15 Jan 2021, 07:03
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Bunuel
In the figure below, triangle ABC and triangle FDE are similar. If the lengths of the sides are indicated in units, how many units long is DE ?
(A) 25
(B) 28
(C) 30
(D) 32
(E) 40
(A) 25
(B) 28
(C) 30
(D) 32
(E) 40
Attachment:
2021-01-15_14-02-39.png
OBSERVATION 1: Ratio of corresponding sides are equal in case of similar triangles
OBSERVATION 2: Sides opposite to smallest angle is smallest and side opposite to largest angle is largest
So, ratio of sides should be
\(\frac{16}{20} = \frac{24}{30} = \frac{?}{40} \)
i.e.
? = 32
Answer:Option D
15 Jan 2021, 08:40
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Given, 24/x = 30/40 or, x = 32.
So, It is D.
So, It is D.
