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

Which two statements describe how rock moves through the rock cycle
A model train running on an inclined track is part of a closed system that has 316 J of mechanical energy. If the kinetic energy of the train decreases from 314
Please answer my attachment
As the pond gets older, the number of plants increases. When they die, they fall to the bottom of the pond, rot, and become mud. After a very long time, what do
Find the angle of CD. Round to the nearest tenth. 12.7 cm 45.5° 9/06 cm mCD= [?]°​
A ___ is an instrument used to draw circles and arcs.
Helpppppp asap with this
Anyone need help with a English Problem? I am pretty good with them. =D (I'm just bored and need something to do) (laughing out loud)
The Question is in the picture because I could not type it out correctly for some reason.
What supreme court decision in effect meant that the constitution protected slavery?.