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Chapter 5: Q7 (page 180)

Name all the points shown that must be midpoints of the sides of the large triangle.

Short Answer

Expert verified

D and E are midpoints of the large triangle.

Step by step solution

01

Step 1. Consider the diagram.

Consider a large triangle ABC.

02

Step 2. State the explanation.

Here,

AD=DB=x (Given)

AE=EC=y (Given)

BF=z

FC=z+1

Therefore, BF≠FC

Thus, D and E are midpoints of the large triangle.

03

Step 3. State the conclusion.

Therefore, D and E are midpoints of the large triangle.

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