Question

poimnt bB is the midpoint of seg AC If AC =15, find BC​

Answer 1

Answer:

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Answer 2

Answer:

Given: In ∆ABC, P is the mid point of BC. PQ||CA, PQ meets AB in Q. QR||BC, QR meets AP in R.

To prove: 1. AP = 2 AR

2. BC = 4 QR

Proof:

In ∆ABC, P is the mid point of BC and PQ||AB.

∴ Q is the mid point of AB (Converse of mid-point theorem)

In ∴ ABP, Q is the mid point of AB and QR||BP.

∴ R is the mid point of AP. (Converse of mid point theorem)

⇒ AP = 2AR

In ∆ABP, Q is the mid point of AB and R is the mid point of AP.