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

a mountain range creates two different . (climates/ landforms)
Use the given conditions to write an equation for the line in​ point-slope form and in​ general form.
The concept of "goggle therapy" suggests that it is possible to treat __________ by wearing special sunglasses that flip up on one side or the other to allow ex
HELPPPPPPPPPPPPPPPPPPPPPPPP
One effect of the great depression on women was to
A growing number of parents are choosing not to vaccinate their children. While there are legitimate reasons not to vaccinate, including certain medical conditi
Calcium carbonate is also known as limestone. It is made up of the elements _______. A. calcium and carbon. B. calcium and hydrogen. C. calcium, carbon and ox
Which plan was adopted for the composition of the federal legislature?
Peta makes a painting on a parallelogram-shape canvas. What is the area of this parallelogram? 1.53 ft² 3.74 ft² 5.27 ft² 22.09 ft² Parall
V(r)=4/3 pie r^3 . What’s the value of v(4)