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Misha Larkins [42]
3 years ago
11

If the length of AC equals 18, what is the length of the midsection DE

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
7 0

Answer:

The length of the midsegment is 9 ⇒ (B)

Step-by-step 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

<em>Let us use this rule to solve our question</em>

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

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