Question

A hockey pitch measure 55m by 90m. How do i find the length of the diagonal of the pitch?

Answer 1

The Diagonal of a Rectangle

A hockey pitch (assumed as a rectangle) measures 55 m by 90 m. It's required to calculate the length of its diagonal.

Given a rectangle of dimensions a by b, the length of the diagonal d can be calculated as follows:

$d=\sqrt[]{a^2+b^2}$

Substituting the values a = 55 m, b = 90 m, we have:

$d=\sqrt[]{(55m)^2+(90m)^2}$

Calculating:

$\begin{gathered} d=\sqrt[]{3025m^2+8100m^2} \\ d=\sqrt[]{11125m^2} \\ d=105.5m \end{gathered}$

The length of the diagonal is 105.5 meters rounded to the nearest tenth (not specified in the question).