Question

The perimeter of a rhombus is 52cm and one of its diagonal is 10cm. Find other diagonal and area of rhombus

Answer 1

the above image is step II

this is step I

as all the sides of a rhombus are equal,

perimeter of rhombus =4×side
52=4×side
$side \: = \frac{52}{4}$
each side =13 cm
one of diagonal=10 cm.

Step II starts here
refer the image for the further calculations.
in the method of the image,you will notice I've done 12×2 =24 .this is because using the Pythagoras theorem,we found just the bisector.We are actually asked to find the whole diagonal

answer,
the other diagonal is 24 cm