The diagonal of a rhombus is 16 cm and 30 cm find the length of its sides
Answers
Answer:
Some of the Properties of Rhombus are;
a. all sides are equal
b. the diagonals bisect each other at This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program.
Let we have a Rhombus ABCD such that is diagonal AC and BD bisects each other.
Now, we know that AO=OC=
2
1
AC=
2
1
×16=8cm
Similarly BO=OD=15cm
Noe since, △AOD is a right angled triangle
Therefore, AD=
AO
2
+OD
2
=
8
2
+15
2
=
64+225
AD=
289
=17cm
Perimeter of Rhombus, P=4a, where a is the length of one of the side.
P=4×a
P=4×17
P=68cm
Step-by-step explanation: