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 of the following statements best represents a nativist attitude toward the influx of immigrants around 1900? (A) Slavs and Italians will be assimilated as
All living things break down _________ to make energy.
What is the equation and solution for. D=12 for 4d-24-12=0
Which of the following statements best represents a nativist attitude toward the influx of immigrants around 1900? (A) Slavs and Italians will be assimilated as
All living things break down _________ to make energy.
How long did the Zhou dynasty rule?
why are the seasons  at higher latitudes different from seasons at latitudes near the equator
AC, DF, and GI are parallel. Use the figure to complete the proportion.BEADJBBC
How can you find the quotient of 95540 / 562?
The first and third digit of the five digit number h6h41 are the same. Given that the number is exacley divisible by 9, what is it sum of it's five digit number