Advertisements
Advertisements
Question
Point G is the centroid of ABC.
If l(RG) = 2.5 then l(GC) = ______.
Advertisements
Solution
If l(RG) = 2.5 then l(GC) = 5.
Explanation:
In ∆ABC, the medians AP, BQ, and CR to the sides BC, CA, and AB respectively intersect at G. Since then the centroid of a triangle divides the medians in the ratio of 2 : 1, then AG : GP = BG : GQ = CG : GR = 2 : 1
We have, CG: GR = 2 : 1
⇒ `(GC)/(RG) = 2/1`
⇒ `(GC)/(2.5) = 2/1`
⇒ GC = `(2 xx 2.5)/1`
⇒ GC = `5.0/1`
⇒ GC = 5
RELATED QUESTIONS
In ΔPQR, D is the mid-point of `bar(QR)`.
`bar(PM)` is ______.
PD is ______.
Is QM = MR?
Draw rough sketch for the following:
In ΔABC, BE is a median.
Draw rough sketch for the following:
In ΔXYZ, YL is an altitude in the exterior of the triangle.
In Δ LMN, _____ is an altitude and _____ is a median. (write the names of appropriate segments.)
Name the orthocentre of ∆PQR
The sides of a right angled triangle are in the ratio 5 : 12 : 13 and its perimeter is 120 units then, the sides are ______________
The triangle ABC formed by AB = 5 cm, BC = 8 cm, AC = 4 cm is ______.
How many altitudes does a triangle have?
Which statement best describes an altitude in a triangle?
What do we call the segment from a vertex to the opposite side that forms a 90° angle with that side?
