Find the diagonal (d) of the base

Question

asked Jan 21, 2019 42.2k views

1 Answer

Wynne · Answer 1 · 2019-01-27T21:27:11+0000

Answer:

$4√(5)\ un.$

Explanation:

The picture shows rectangular prism with rectangular base and heigth h. The dimenssions of base rectangle are l and w.

The diagonal of reactangle with known length l and width w can be calculated using the Pythagorean theorem:

$d^2=l^2+w^2,\\ \\d^2=8^2+4^2,\\ \\d^2=64+16,\\ \\d^2=80,\\ \\d=4√(5)\ un.$