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Hi chetan2u ,

kindly help wih this one


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Explanation:

There is one formula for finding A segment parallel to the bases passes through the point of intersection of the diagonals.

let longer base = A = 15
Shorter base = B = 10
Segment Passing through intersection of diagonals = C
The length of the parallel line segment through the intersection of the diagonals is the harmonic mean of the bases of the trapezoid.
C-B/B = A-C/C
C-10/10 = 15-C/15
5C=60
C= 12

IMO-B

ShankSouljaBoi

For Formula derivation & better understanding, check this URL https://jwilson.coe.uga.edu/emt725/Isos.Trpzd/Diag/diag.html
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rajatchopra1994
Explanation:

There is one formula for finding A segment parallel to the bases passes through the point of intersection of the diagonals.

let longer base = A = 15
Shorter base = B = 10
Segment Passing through intersection of diagonals = C
The length of the parallel line segment through the intersection of the diagonals is the harmonic mean of the bases of the trapezoid.
C-B/B = A-C/C
C-10/10 = 15-C/15
5C=60
C= 12

IMO-B

ShankSouljaBoi



For Formula derivation & better understanding, check this URL https://jwilson.coe.uga.edu/emt725/Isos.Trpzd/Diag/diag.html

I didn't know this formula, but I used estimation.

So, the length that we want to find will definitely be smaller than the average of two bases (unless they're equal to): L < (10+15)/2 = 12.5

Look at the choices, we can cross out C, D, E. Since A (L=5) is smaller than the length of one base (10), we're left with 12.
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