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Centroid

Why the ratio...

Question

Why the ratio of median is 2:1?

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Q. A centroid divides the median in the ratio of 2:1 .

Median of data is 14 .what is the median of the data if each observation is multiplied by 2 and why?

If CD is a median of $Δ$ ABC, then find the ratio of Area $(Δ A D C)$ to Area $(Δ C D B)$ .

Q. Assertion :Statement 1: In

Δ A B C,

(G)

divides the line joining orthocenter

(H)

and circucenter in ratio

2 : 1

. Reason: Statement 2: The centroid

(G)

divides the median

A D

2 : 1

.

Q. If the median

A D

A B C

∠ B A C

1 : 2,

\frac{sin B}{sin C}

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