Question

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

Answer 1

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.