Answer to Question #20625 in Trigonometry for conor northover

Question

A rectangle of width 6.5 cm has diagonals of length 10 cm calculate the length of the rectangle

Answer 1

Let's write down the Pythagoras' theorem:

D² = L² + W²,

where D, L and W are for the length of the diagonal, length of the rectangle and width of the rectangle respectively. Therefore, the length of the rectangle is

L = √(D² - W²) = √((10[cm])² - (6.5[cm])²) = √57.75[cm] ≈ 7.60[cm].