Question

In a rhombus of side 10 cm, one of the diagonals is 12 cm long. Find the length of the
second diagonal.
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Answer 1

Answer:

16 cm

Step-by-step explanation

Let the rhombus be named as ABCD

We know that diagonals of rhombus intersect each other at right angle

Let the intersection point be named as o

In triangle BOD

BO= 6cm ( as the diagonal BC got bisected )

BD= 10cm ( One side of rhombus )

SO, OD=  Square root of (10^2- 6^2)= Square root of 64= 8cm

So other diagonal = 8cm + 8cm= 16cm

Note: Draw the diagram yourself as I mentioned here, this will help you to understand better.