Using proportions, the coordinates of the point C that partitions segment HE in the ratio of 2:3 are found according to the following equation:
C - H = 2/5(E - H).
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For this problem, we have point C that partitions segment HE in the ratio of 2:3, hence it is 2/5 of the way from H to E, and the rule is given by:
C - H = 2/5(E - H).
Then:
- Replacing the x-coordinates of H and E, we find the x-coordinate of C.
- Replacing the y-coordinates of H and E, we find the y-coordinate of C.
More can be learned about proportions at https://brainly.com/question/24372153
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