Question

Find the diagonal of the box using the Pythagorean Theorem.

Answer 1

Answer:

26 cm

Step-by-step 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

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

$676 = d^2$

$\sqrt{676} = \sqrt{d^2}$

$26 = d$

Length of diagonal of the box = 26 cm