Q. 235.0( 1 Vote )

# If the diagonals of a rhombus are 18 cm and 24 cm respectively, then its side is equal toA. 16 cmB. 15 cmC. 20 cmD. 17 cm

ABCD is a rhombus

AC = 18cm

BD = 24cm

We have to find the sides of the rhombus

In triangle AOB,

AO = 9cm (Diagonals of a parallelogram bisect each other)

BO = 12cm

AOB is a right - triangle right angled at O (Diagonals of a rhombus are perpendicular to each other)

So,

AB2 = AO2 + BO2 (By Pythagoras theorem)

AB2 = 92 + 122

AB2 = 81 + 144

AB2 = 225

AB = 15cm

In a rhombus, all sides are equal

Thus, each side of the rhombus is 15cm.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Surface Area and Volume of Right Circular Cone37 mins  R D Sharma | Surface Area and Volumes39 mins  Surface Area and Volume of Right Circular Cylinders42 mins  Surface Area and Volume of Spheres40 mins  RD Sharma | Surface areas and volumes of Cube & Cuboid33 mins  Quiz | Surface Area and Volumes43 mins  Applications of Laws of Motion34 mins  What an Atom holds?41 mins  Types of Present Tense55 mins  Building blocks of brain27 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 