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svlad2 [7]
4 years ago
5

Now select point A, B, or D on the line segment and move the point while keeping the order of A, B, C, and D the same. How does

the relationship between the lengths of the line segments change?
Mathematics
1 answer:
Eva8 [605]4 years ago
4 0

Answer: The relationship between the lengths of the line segments doesn't change. In all the cases, AB = CD and AC = BD.

Step-by-step explanation: this is plato!!!!!!!!

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im too late

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3 years ago
Help, I don't remember​
GenaCL600 [577]

Answer:

  x = 144

Step-by-step explanation:

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_____

<em>Comment on this geometry</em>

You may have noticed that the above equation can be written in the form ...

  60 = √(25x)

That is, the altitude from the hypotenuse (60) is equal to the geometric mean of the lengths into which it divides the hypotenuse (25 and x).

This same sort of "geometric mean" relation holds for other parts of this geometry, as well. The short leg of the largest triangle (the hypotenuse of the one with legs 25 and 60) is the geometric mean of the short hypotenuse segment (25) and the total hypotenuse (25+x).

And, the long leg of the large triangle (the hypotenuse of the one with legs 60 and x) is the geometric mean of the long hypotenuse segment (x) and the total hypotenuse (25+x).

While it can be a shortcut in some problems to remember these geometric mean relationships, you can always come up with what you need by simply remembering that the triangles are all similar.

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3 years ago
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