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What is the length of ?

3 ft
4 ft
9 ft
18 ft

What is the length of ? 3 ft 4 ft 9 ft 18 ft-example-1

2 Answers

1 vote

Well it has to be bigger than 9ft so it's 18ft. D.

User Raj Srivastava
by
6.2k points
3 votes
Answer:
AC = 18 ft

Step-by-step explanation:
There is a geometric theorem that states that:
" In a triangle, the line joining two midpoints of two sides is parallel to the third side and equals have its length"

Now, let's check the given triangle:
M is the midpoint of AB
N is the midpoint of BC

Based on the above theorem:
MN will be parallel to AC
and
length of MN = (1/2) * length of AC

We are given that:
length of MN = 9 ft
Therefore:
9 = (1/2) * length of AC
length of AC = 2 * 9 = 18 ft

Hope this jhelps :)
User Overboming
by
6.0k points