Question

In the given figure P and Q are the midpoints of sides AB and AC

respectively of ∆. Also D and E are the mid points of AP and AQ

respectively if DE = 2.3 cm, then find the length of BC.​

Answer 1

Answer:

Length of BC = 9.2 cm

Step-by-step explanation:

All the triangles are similar .

Hence , ∆ABC ~ ∆APQ ~ ∆ADE

Now , by Thales theorum , we have

DE : PQ = 2 : 1

Hence , PQ = 2DE = 2 * 2.3 = 4.6 cm

Similarily , BC = 2PQ = 2 * 4.6 = 9.2 cm

Hence , BC = 9.2 cm

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Answer 2

Answer:

Answer:

Length of BC = 9.2 cm

Step-by-step explanation:

All the triangles are similar .

Hence , ∆ABC ~ ∆APQ ~ ∆ADE

Now , by Thales theorum , we have

DE : PQ = 2 : 1

Hence , PQ = 2DE = 2 * 2.3 = 4.6 cm

Similarily , BC = 2PQ = 2 * 4.6 = 9.2 cm

Hence , BC = 9.2 cm

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