asked 3.5k views
5 votes
If the length of AC equals 18, what is the length of the midsection DE

If the length of AC equals 18, what is the length of the midsection DE-example-1
asked
User Wjamyers
by
7.1k points

1 Answer

4 votes

Answer:

The length of the midsegment is 9 ⇒ (B)

Explanation:

In a triangle,

  • The midsegment is the segment which joining the midpoints of two opposite sides of it
  • The length of the midsegment is half the length of the third side in the triangle which opposite to it

Let us use this rule to solve our question

In Δ AC

∵ DE is the midsegment of it

∵ DE is opposite to the side AC

∴ The length of DE = 1/2 the length of AC

∵ The length of AC = 18

∴ The length of DE = 1/2 × 18

∴ The length of DE = 9

The length of the midsegment is 9

The correct answer is B

answered
User Ghostfly
by
8.7k points
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