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Mathematics

Find 'x', if :

Find 'x', if : Solution of Right Triangles, Concise Mathematics Solutions ICSE Class 9.

Trigonometric Identities

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Answer

sin 45°=PerpendicularHypotenuse12=20xx=20×2x=28.28\text{sin 45°} = \dfrac{Perpendicular}{Hypotenuse}\\[1em] ⇒ \dfrac{1}{\sqrt2} = \dfrac{20}{x}\\[1em] ⇒ x = 20 \times \sqrt2\\[1em] ⇒ x = 28.28

Hence, x = 28.28.

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