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Please solve with proof

Please solve with proof-example-1
User UshaP
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2 Answers

2 votes

Answer:

BC is 32 cm

Explanation:

User Alex Lew
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To find the length of segment BC, we can use the property that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length.

Given:
Length of segment AD = 28 cm
Distance between midpoints of AB and CD (M and N) = 16 cm

First, let's find the length of segment MN. Since M and N are the midpoints of AB and CD respectively, we know that MN is parallel to BC and half its length.

Length of segment MN = 16 cm

Now, let's find the length of segment BC. Since MN is parallel to BC and half its length, and M and N are midpoints of AB and CD respectively, BC must be twice the length of MN.

Length of segment BC = 2 * Length of segment MN

Length of segment BC = 2 * 16 cm

Length of segment BC = 32 cm

Therefore, the length of segment BC is 32 cm.
User Claude Catonio
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