Q. 123.5( 2 Votes )

Find the area of a rhombus each side of which measurers 20 cm and one of whose diagonals is 24 cm.

Answer :

Given:


Length of diagonal 1 (d1) = 24 cm


Side = 20 cm



Let, Length of diagonal 2 be d2


We know that,


Side of rhombus = 1/2 × √(d12 + d22 )


20 = 1/2 × √(242 + d22 )


20 × 2 = √(576 + d22 )


40 = √(576 + d22)


Squaring both sides,


1600 = 576 + d22


d22 = 1600-576


d22 = 1024


d2 = 32 cm


Now,


Area of rhombus= 1/2 × d1 × d2


= 1/2 × 24 × 32


= 384 cm2


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 Volume49 mins
Surface Area and Volumes43 mins
Figure Completion49 mins
Reflection of Light - Plane Mirrors51 mins
Figures of Speech37 mins
Quiz | Surface Area and Volumes42 mins
Champ Quiz | Area Related with the Circle45 mins
Quiz | Area Related with Circles47 mins
Short Cut Trick to Find Area of Triangle43 mins
Nuts and Bolts of Editing40 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