Question

Find the length diagonal of a rectangle whose length is 35 cm and breadth is 12 cm.

Answer 1

`square`ABCD is a rectangle
`l(AB) = 35 cm`
`l(BC) = 12 cm`

Let AC be the diagonal of rectangle

as  ∠A =  ∠B = ∠C =  ∠D = 90°

∴ In `triangle`ABC, as  ∠B = 90°

∴ By using Pythagoras theorem.

`AC^2 = AB^2 + BC^2`
`AC^2 = 35^2 + 12^2`
`AC^2 = 1225 + 144`
`AC^2 =1369`
`AC =37cm`

∴ The diagonal of the rectangle is 37 cm.