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2 years ago

Please help it due ASAP Show workings!

Mathematics

1 answer:

kiruha [24]2 years ago

7 0

Answers:

AQ = 8

QD = 4

========================================================

Explanation:

A median goes from a vertex to the midpoint of the opposite side. The medians of this triangle are segments AD, BE, and CF.

The three medians intersect at the centroid. The centroid cuts the median AD such that

AQ is 2/3 as long as AD
QD is 1/3 as long as AD

Note how 2/3+1/3 = 3/3 = 1

Since AD = 12, we know that

AQ = (2/3)*AD = (2/3)*12 = 8
QD = (1/3)*AD = (1/3)*12 = 4

As a check,

AQ+QD = 8+4 = 12 = AD

So AQ+QD = AD is a true equation.

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