# Ramu and his three brothers owned an agricultural land of quadrilateral shape. they fenced its boundary with a thik metallic wire. later on they divided the land in 4 part by fixing a thin wire along its diagonals. which of the two wires ( thick or thin ) Was of larger length and why?

1
by gmayank3551

## Answers

• qais
• Content Quality
2016-01-21T11:41:10+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Thick wire will be of larger length.
when we divide the quadrilateral into four parts, it will be four triangle.
And we know the side property of triangle , that sum of any two sides of a triangle is always greater than the third side.
Let the quadrilateral be ABCD then the diagonal AC and BD
Then,
AB +BC > AC
BC +CD > BD
CD+ AD >AC
AD +AB >BD
adding all,
2( AB +BC +CD +AD) > 2(AC +BD)
( AB +BC +CD +AD) > (AC +BD)
so the sum of sides of quadrilateral is greater than the sum of it's diagonal.