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

The Miller family visited Mama's kitchen and ordered 4 hamburgers and 3 medium fries and paid $17.35. James ordered a medium drink , and a hamburger , and mediu
Compare and contrast the three classes of levers.
Crops produce the greatest amount of waste, mainly from plant parts not harvested as food. Why are most people less concerned about crop waste than other types
A car advertisement states that a certain car can accelerate from rest to 70km/h in 7 seconds. Find the car’s acceleration in m/s.
What are the next three numbers in this pattern? 6,000 6,003 6,009 6,018 6,030 6,045 ... .. ...
If a Ferrari, with an initial velocity of 10 m/s, accelerates at a rate of 50 m/s2 , for 3 seconds, what was his ending velocity?
If a Ferrari, with an initial velocity of 10 m/s, accelerates at a rate of 50 m/s2 , for 3 seconds, what was his ending velocity?
Can some one help me with this how many kilograms is this ??? Really need help
How do you write 0.045 as a reduced fraction
How does thermal energy heat a house? What devices and systems are involved?