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The length of a side of a triangle is 26 in. A line, parallel to the given side ,divides the triangle into 2 parts of equal areas. Find the length of the segment cut from the line by the two other sides of the triangle

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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