Question
The area of a rhombus is given as 384 cm², and its
perimeter measures 80 cm. Determine the total length of its two diagonals.Solution
Length of each side of the rhombus = 80 ÷ 4 = 20 cm
Let the length of longer diagonal be '2x' cm and that of smaller diagonal be '2y' cm.
So, (1/2) X 2x X 2y = 384
Or, xy = 192
Now, since the diagonals of a rhombus are perpendicular bisectors of each other. So, ABC is a right angled triangle.
And, in triangle ABC, we have
x2Â + y2Â = 400
Since, (x + y)2Â = x2Â + y2Â + 2xy
So, (x + y)2Â = 400 + 2 X 192
Or, (x + y)2Â = 784
So, x + y = 28
So, required sum = 28 X 2 = 56 cm
Which of the following technique of decision making is a process in which a group of individuals generate and state ideas, but in which the rules prohib...
Which of the following decision is concerned with solving problems of structured nature?
How does effective communication contribute to the decision-making process?
When people take decisions based on the most currently presented items or experiences, it is called _____
What types of a decision is one that is made before the occurrence of an external or internal change?
Which of the following decisions cannot be delegated?
As per Herbert’s Decision-making theory, the stage in which the final decision is made is referred to as ______
Which of the following best describes a decision tree?
In which decision-making technique do experts provide their opinions anonymously to avoid bias, and a consensus is reached after several rounds?
When the decision maker chooses the optimal solution to a problem that maximises the outcome, after careful analysis, it is known as ________