Question

In adjoining figure PQ⊥BC,AD⊥ BC then find following ratios.
(i) A(ΔPQB)/A(ΔPBC)
(ii)A(ΔPBC)/A(ΔABC)
(iii)A(ΔABC)/A(ΔADC)
(iv)A(ΔADC)/ A(ΔPQC)

Answer 1

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Answer 2

Answer:

In adjoining figure PQ⊥BC,AD⊥ BC then find following ratios.

(i) A(ΔPQB)/A(ΔPBC)  =  BQ/BC

(ii)A(ΔPBC)/A(ΔABC)  = PQ/AD

(iii)A(ΔABC)/A(ΔADC)  = BC/DC

(iv)A(ΔADC)/ A(ΔPQC) = (DC * AD) / (QC * QP)

Step-by-step explanation:

A(ΔPQB)  = (1/2) BQ * PQ

A(ΔPBC)  = (1/2) BC * PQ

=> A(ΔPQB)/A(ΔPBC)  = BQ/BC

A(ΔPBC) = (1/2) BC * PQ

A(ΔABC)

=  (1/2) BC * AD

A(ΔPBC)/A(ΔABC)  = PQ/AD

A(ΔABC) = (1/2) BC * AD

A(ΔADC)  = (1/2) DC * AD

A(ΔABC)/A(ΔADC)  = BC/DC

A(ΔADC) = (1/2) DC * AD

A(ΔPQC) = (1/2) QC * QP

A(ΔADC)/ A(ΔPQC) = (DC * AD) / (QC * QP)