Question

Find the diagonal of the box using the Pythagorean Theorem.

Answer 1

26 cm

Explanation:

Given:

Length = 24 cm

Width = 8 cm

Height = 6 cm

Required:

Diagonal of the box

SOLUTION:

Using the pythagorean theorem,
`a^2 + b^2 + c^2 = d^2`, where,

a, b and c are the dimensions of the box, and d is the length of the diagonal.

Plug in the value into the formula

`24^2 + 8^2 + 6^2 = d^2`

`676 = d^2`

`√(676) = √(d^2)`

`26 = d`

Length of diagonal of the box = 26 cm