Question

आकृति में, BAC = BCD, AB = 32 सेमी और
BD = 18 सेमी है तो BC भुजा की लंबाई ज्ञात
कीजिए।



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Answer 1

Given : ∠BAC = ∠BCD  

AB = 32 सेमी और

BD = 18 सेमी है

To Find :  BC भुजा की लंबाई

Solution:

ΔBAC  &  ΔBCD

∠B = ∠B    common

∠BAC = ∠BCD  given

=> ΔBAC  ≈  ΔBCD

=> BA/BC = BC/BD

=> 32/BC = BC/18

=> BC² = 32 x 18

=> BC² = 4² * 2 * 3² * 2

=> BC² = 4² * 2² * 3²

=> BC² = 24²

=> BC = 24 cm

BC भुजा की लंबाई   = 24 सेमी

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Answer 2

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24cm.