What is the perimeter of a rhombus with diagonals 10 and 24?
1 Answer
Nov 15, 2015
The Pythagoras' theorem comes in handy here.
Explanation:
ABCD is our rhombus with the diagonals
Now, since a rhombus is also a parallelogram, the diagonals bisect each other at the point where they meet, which in this case is O.
Therefore,
Now, in a rhombus the diagonals intersect each other at 90 degrees.
Hence,
In right angled triangle BOC, applying the Pythagoras' theorem, we have:
Now, in a rhombus, the length of all sides are equal
i.e.
Thus perimeter =