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In A B C ,D is the mid-point of A B ,P ...

In ` A B C ,D` is the mid-point of `A B ,P` is any point of `B CdotC Q P D` meets `A B` in `Q` . Show that `a r( B P Q)=1/2a r( A B C)dot` TO PROVE : `a r( B P Q)=1/2a r( A B C)` CONSTRUCTION : Join CD.

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To prove that the area of triangle \( BPQ \) is equal to half the area of triangle \( ABC \), we will follow these steps: ### Step-by-Step Solution: 1. **Identify the Midpoints:** - Given triangle \( ABC \), point \( D \) is the midpoint of side \( AB \). This means \( AD = DB \). 2. **Construct Line Segment:** ...
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