Question

CAN SOMEONE PLEASE HELP ME WORTH 20 points

Answer 1

Answer:

  12 units

Step-by-step explanation:

Point H is the intersection of the medians, so divides each median into parts with the ratio 2:1. Here, that is ...

  CH : HG = 2 : 1 = CH : 6

Then CH = 2×6 = 12.

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Alternatively, you could determine altitude CG from the Pythagorean theorem applied to triangle BCG. You would compute ...

  CG² +GB² = BC²

  CG = √(BC² -GB²) = √(19.8² -8²) = √146.7 ≈ 12.1

This is an approximation based on the fact that the value 9.9 for BF is an approximation. Based on BG and GH being integer values, the appropriate measure of BF is (√388)/2 ≈ 9.8489.

(The triangle shown cannot exist.)