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answer
Step-by-step explanation:
solution
1). ∆PQB and ∆ PBC have same height PQ areas of triangle with equal height are proportional to their corresponding bases
A( ∆PQB). / A(∆PBC). = QB/BC
2). ∆PBC and ∆ ABC have same base BC area of triangle with equal bases are proportional to thir corresponding height A(∆PBC)/ A(∆ABC)= PQ/ AD
3) ∆ ABC and ∆ADC have same height AD areas of triangle with equal height are proportional to their corresponding bases
A(∆ABC)/A(∆ADC)= BC/DC
4. ratio of areas of two triangle is equal to the ratio of the product of their bases and corresponding height
A(∆ABC)/A(∆ADC)= DC× AD / QC× PQ
answer = 1). A(∆PQB) / A(∆PBC) = QB/ BC
2). A(∆PBC) / A(∆ABC) = PQ/ AD
3). A(∆ABC) / A(∆ADC) = BC/ DC
4). A(∆ADC) / A(∆PQC) = DC× AD / QC×PQ
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