The area of triangle PQR is 273 cm. Given that PQ = 12.8cm and PQR = 107°, find QR.

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05-12-2021
Mathematics

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The area of triangle PQR is 273 cm. Given that PQ = 12.8cm and PQR = 107°, find QR.

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Loneguyidn Loneguyidn · Answer 1 · 2021-12-05T00:47:55-05:00

Loneguyidn Loneguyidn

05-12-2021

[tex]\text{Area of triangle} = \dfrac 12 \times PQ \times QR \times \sin \angle PQR \\\\\\\implies 273= \dfrac 12 \times 12.8 \times QR \times \sin 107^{\circ}\\\\\implies 273 = 6.4 \sin 107^{\circ} \times QR\\\\\\\implies QR = \dfrac{273}{6.4 \sin 107^{\circ}} = 44. 606~~ \text{cm}[/tex]

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