Chocolate is in the form of a quadrilateral with sides 6 cm, 10 cm, 5 cm, and 5 cm
(as shown in the figure) is cut into two parts on one of its diagonal by a lady.
Part-I is given to her maid and part-II is equally divided among a driver and
gardener.
i). Length of BD
Answers
Step-by-step explanation:
1) The distribution is fair
2) The value depicted here is caring nature, impartialness
Explanation:
There is a figure that goes with this question. The figure is attached.
ΔABD is a right angled triangle
∴ AB² + BD² = AD²
or BD² = AD² - AB²
or BD² = 10² - 6²
or BD² = 100 - 36
or BD² = 64
or BD = 8
Area of ΔABD = 1/2 × 6 × 8 = 24 cm²
Area of ΔBCD can be calculated using Heron's formula
Area =
�
(
�
−
�
)
(
�
−
�
)
(
�
−
�
)
s(s−a)(s−b)(s−c)
semi-parameter s = (5+5+8)/2 = 9
Area =
9
(
9
−
8
)
(
9
−
5
)
(
9
−
5
)
9(9−8)(9−5)(9−5)
=
9
(
4
)
(
4
)
9(4)(4)
= 12 cm²
ΔBCD forms Part-I and ΔABD forms Part-II
Part-2 is equally divided between driver and gardener so they both get the chocolate of area 12 cm²
Thus the distribution is fair
The lady has distributed the chocolate among the three indiscriminately. This shows that she cares for all three and there is no biased.