Question

Point Q is the centroid of △ABC. QE = _____

Answer 1

That’s the answer to your question.

Answer 2

The median of $\triangle ABC$ are lines CD, AE and BF. These lines meet at point Q, makes Q the centroid. The length of QE is 9 units.

The centroid of a triangle divides the median of a triangle using the following ratio;

$m:n = 2:1$

This means that:

$BQ:QF=2:1$

$AQ:QE=2:1$

$DQ:QC=2:1$

To calculate QE, we make use of:

$AQ:QE=2:1$

From the triangle;

$AQ = 18$

So, we have:

$18:QE=2:1$

Express as a fraction

$\frac{18}{QE}=\frac{2}{1}$

Cross multiply

$2 \times QE = 18 \times 1$

$2 \times QE = 18$

Divide both sides by 2

$QE = 9$

Hence, the length of QE is 9 units.

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