Question about Triangles: Cevians and Notable Points
Subject Mathematics
Mathematics
Source Originais Teachy
Originais Teachy
Topic Triangles: Cevians and Notable Points
Triangles: Cevians and Notable Points
Difficulty Medium
Medium
(Originais Teachy 2023) - Question Medium of Mathematics
In a dodgeball game in Physical Education class, the students decided to mark the playing field in the shape of a triangle in the school yard. One of the students drew a cevian connecting vertex A to the opposite side measuring 18 meters. This cevian divides the opposite side into two segments with lengths x and 6. Determine the value of x and the ratio between the sides divided by the cevian.a.
x = 6 meters; ratio = 1:1
b.
x = 15 meters; ratio = 1:1
c.
x = 12 meters; ratio = 3:1
d.
x = 9 meters; ratio = 2:1
e.
x = 12 meters; ratio = 2:1
Answer sheet:
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Answer sheet
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