adipalmer adipalmer
  • 01-11-2019
  • Mathematics
contestada

Show that in a quadrilateral ABCD, AB+BC+CD+DA<2(BD+AC)

Respuesta :

Rishi2005
Rishi2005 Rishi2005
  • 01-11-2019

Step-by-step explanation:

We know that the length of the diagonals will be more than the side.

Lets suppose the quadrilateral is a rectangle, with sides 6 and 4.

The length of a diagonal is:

√(6*6)+(4*4)

√36+16

√52

7.21(rounded off to 3 sig. fig.)

So, 6+4+6+4<2(7.21+7.21)

20< 2*14.42

20<28.84, which is true.

:)

Answer Link

Otras preguntas

what country was mongolia part of in 1900
A man hits a baseball when it is 4 ft above the ground with an initial velocity of 120 ft/sec. The ball leaves the bat at a 30 degree angle with the horizontal
solve 732, 178 167-542, 137=
Although Columbus did not actually find riches or a sea route to Asia, his voyages
what is the equation of the line, in general form, that passes through the point (1, 1) and has a y-intercept of 2.
If AB = AD + DB and AD = AC, then AB = AC + DB because of the
what is the opposite of nervous system
Users generally do not understand the concept of network drive sharing. they only know they can store their files "on my f: drive" and are unaware that someone
what happens when the diaphragm contracts? a. the volume of the thoracic cavity increases. b. the diaphragm rises. c. the volume of the thoracic cavity decrease
The function of the sinoatrial node is to a. filter lymph. b. prevent blood from backing up into the atrium. c. keep the heart beating. d. divide the right