Respuesta :
Answer:
13√ 2
Step-by-step explanation:
√ 26*(26/2)
=√ 26*13 = √ 338 = 13√ 2
The length of the segment  cut from the line by the two other sides of the triangle is [tex]13\sqrt{2[/tex]
The length of the side is given as:
L= 26 inches
The length (d) of the line that divides the segment is calculated as:
[tex]d = \sqrt{(L/2)^2 + (L/2)^2[/tex]
So, we have:
[tex]d = \sqrt{(26/2)^2 + (26/2)^2[/tex]
Evaluate the quotients
[tex]d = \sqrt{13^2 + 13^2[/tex]
Rewrite the expression as:
[tex]d = \sqrt{13^2* 2[/tex]
Take the square root
[tex]d = 13\sqrt{2[/tex]
Hence, the length of the segment is [tex]13\sqrt{2[/tex]
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