*A centroid divides a median into two parts . If length of the larger part is 8 cm, then what is the length of the smaller part ?*
1️⃣ 8 cm
2️⃣ 16 cm
3️⃣ 4 cm
4️⃣ 2 cm
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Given,
Length of the bigger part = 8 cm
To find,
Length of the smaller part of the given median.
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
A median is divided into 2:1 ratio by the centroid.
Let, the two parts = 2x and x cm (x be the variable)
Now, greater part = 2x cm
According to the data mentioned in the question,
2x =8
x = 4
Hence, the length of the smaller part is 4 cm.
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