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 area s. Find the length of the segment cut from the line by the two other sides of the triangle
1 answer:
Answer:
13√2
Step-by-step explanation:
The areas of the larger triangle, and the smaller triangle (formed when the larger triangle was cut by the parallel line) are similar. Therefore we can compare their areas:
Area1/Area2 = (Length1)^2/(Length2)^2,
x/2x = (Length1)^2/(26)^2,
1/2 = (Length1)^2/676,
(Length1)^2 = 676/2 = 338
Length1 = √1352 = 13√2
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