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Yuki888 [10]
4 years ago
7

The length of a side of a triangle is 36. A line parallel to that side divides the triangle into two parts of equal area. Find t

he length of the segment determined by the points of intersection between the line and the other two sides of the triangle
Mathematics
1 answer:
pantera1 [17]4 years ago
6 0

Answer:

  18√2

Step-by-step explanation:

The area of the smaller triangle is 1/2 that of the larger one. Since the triangles are similar, the dimensions of the smaller triangle are √(1/2) those of the larger one.

  36 · √(1/2) = 36 · (√2)/2 = 18√2 . . . . length of line dividing the triangle

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