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I can’t figure out how to solve this problem someone please help me

I can’t figure out how to solve this problem someone please help me-example-1

2 Answers

7 votes

Answer:

x=30

Explanation:

i actually dont know but thnks for the points BTW

User Anew
by
7.3k points
7 votes

Answer:

x = 4

Explanation:

In this geometry, all of the right triangles are similar. That means the ratio of short side to long side is the same for all of the right triangles:

x/10 = 10/25

x = 100/25 = 4 . . . . . multiply by 10

_____

Additional comment

You may notice that the two segments of the hypotenuse, x and 25, have a product that is the square of the altitude. Another way to say this is that the altitude is the geometric mean of the segments x and 25.

There are two other geometric mean relations in this geometry:

the short side at the right is the geometric mean of x and (x+25).

the long side at the bottom is the geometric mean of 25 and (25+x).

That is, the segments that intersect the hypotenuse are the geometric mean of the two segments of the hypotenuse that they meet.

geometric mean of A and B is √(AB)

User EpicUsername
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