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ABC ~ PQR. IF A(ABC) = 25, A(PQR) = 16 findАВ; РQ |
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Answer» . Answer Step-by-step explanation: Given information: \triangle ABC\sim \triangle PQR△ABC∼△PQR , A(ABC)=25 and A(PQR) =16 We need to find the ratio of AB:PQ. The ratio of area of two similar triangle is proportional to the ratio of square of their corresponding sides. \dfrac{A(ABC)}{A(PQR)}=\dfrac{(AB)^2}{(PQ)^2}A(PQR)A(ABC)=(PQ)2(AB)2 \dfrac{25}{16}=(\dfrac{AB}{PQ})^21625=(PQAB)2 Taking square root on both sides. \dfrac{5}{4}=\dfrac{AB}{PQ}45=PQAB Therefore, the ratio of AB:PQ is 5:4. |
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