Question

*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
​

Answer 1

Answer:

4 cm is the correct answer

Step-by-step explanation:

L×2/3=8 => L/3 =4 {ANS}

please mark it as the brainliest answer

Answer 2

Given:

A centroid divides a median into two parts.

If the length of the larger part is 8 cm

To find:

What is the length of the smaller part?

Solution:

We know,

$\boxed{\bold{The \:centroid\: of\:a\: triangle \:divides\: the \:median \:in\: the \:ratio\: of \:2:1}}$

So, let's assume,

"2x" → represents the length of the larger part

"x" → represents the length of the smaller part

Since the length of the larger part is given as 8 cm

Therefore, we get

2x = 8

⇒ x = $\frac{8}{2}$

⇒ x = 4 cm

Thus, the length of the smaller part is → option (3) → 4 cm.

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