greencookiepigs greencookiepigs
  • 02-12-2020
  • Mathematics
contestada

Find the diagonal of the box using the Pythagorean Theorem.

Find the diagonal of the box using the Pythagorean Theorem class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 11-12-2020

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, [tex] a^2 + b^2 + c^2 = d^2 [/tex], 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

[tex] 24^2 + 8^2 + 6^2 = d^2 [/tex]

[tex] 676 = d^2 [/tex]

[tex] \sqrt{676} = \sqrt{d^2} [/tex]

[tex] 26 = d [/tex]

Length of diagonal of the box = 26 cm

Answer Link

Otras preguntas

Given: AB ≅ BC and AE = 10 in m∠FEC = 90° m∠ABC = 130°30’ Find: m∠EBC, AC
How is the value of 4 in 864 related to the value of 4 in 846
if you burn 6 calories a minute jogging, how many calories will you use if you run an hour
Number Frequency 1,400 3 1,450 7 1,500 7 1,550 5 1,600 4 1,650 2 1,700 1 What is the mode?
Can someone help write a rule for 3+4?
how many times can 8 go into 100
A 0.025-kilogram bullet is fired from a rifle by an unbalanced force of 200. newtons. if the force acts on the bullet for 0.1 second, what is the maximum speed
The _____ has the primary objective of providing high quality care to patients.
Jordan paid 11.20 for 5 pears and 6 peaches. The cost of 3 pears is as much as 2 peaches.
Which substrate is digested by the enzyme protease? sucrose lipase protein protista