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प्रश्न
Point G is the centroid of Δ ABC.
If l(BG) = 6 then l(BQ) = ______.
रिकाम्या जागा भरा
उत्तर
If l(BG) = 6 then l(BQ) = 9.
Explanation:
In ∆ABC, the medians AP, BQ and CR to the sides BC, CA and AB respectively intersect at G. Since, centroid of a triangle divides the medians in the ratio of 2 : 1, then AG : GP = BG : GQ = CG : GR = 2 : 1.
We have BG : GQ = 2 : 1
⇒ `("BG")/("GQ") = 2/1`
⇒ `("BG")/("BQ" - "BG") = 2/1`
⇒ `(6)/("BQ" - 6) = 2`
⇒ BQ − 6 = 3
⇒ BQ = 9
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