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A rectangle having dimensions 35 m × 12 m, then what is the length of its diagonal? - Geometry Mathematics 2

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प्रश्न

A rectangle having dimensions 35 m × 12 m, then what is the length of its diagonal?

बेरीज

उत्तर


Let □PQRS be the given rectangle.

In ∆PQR,

∠Q = 90°                     ....[Angle of a rectangle]

∴ PR2 = PQ2 + QR2    .....[Pythagoras theorem]

= 122 + 352

= 144 + 1225

= 1369

∴ PR = `sqrt(1369)`   ......[Taking square root of both sides]

= 37 cm

∴ The length of the diagonal of the given rectangle is 37 cm.

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Converse of Pythagoras Theorem
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Pythagoras Theorem - Q.1 (B)

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