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Answer»

R)ar(ABC) = (QR) 2 (BC) 2 \longrightarrow{\rm{\dfrac{100}{121} = \dfrac{(5)^{2} }{(QR)^{2}}}}⟶ 121100 = (QR) 2 (5) 2 \longrightarrow{\rm{\dfrac{100}{121} = \dfrac{25}{(QR)^{2}}}}⟶ 121100 = (QR) 2 25 \longrightarrow{\rm{100 \times {QR}^{2} = 121 \times 25}}⟶100×QR 2 =121×25\longrightarrow{\rm{100 \times {QR}^{2} = 3025}}⟶100×QR 2 =3025\longrightarrow{\rm{100 \times {QR}^{2} = 3025}}⟶100×QR 2 =3025\longrightarrow{\rm{ {QR}^{2} =30.25}}⟶QR 2 =30.25\longrightarrow{\rm{ {QR} = \sqrt{30.25}}}⟶QR= 30.25 \longrightarrow{\rm{ {QR} = 5.5}}⟶QR=5.5Therefore, measure of QR is 5.5 cm.



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