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A circle touches the side BC of ABC at D and...

This question belongs to Arithmetic Ability Geometry
Geometry
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A circle touches the side BC of ΔABC at D and AB and AC are produced to E and F, respectively. If AB = 10 cm, AC = 8.6 cm and BC = 6.4 cm, then BE = ?

Answer & Solution
Correct Answer: Option D
Geometry mcq question image
10 + x = 8.6 + y   (AE = AF)
x - y = -1.4 . . . . . . (i)
x + y = 6.4 . . . . . . (ii)
2x = 5.0
x = 2.5
BE = 2.5
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