# The lengths of the diagonals of a rhombus are 16 cm and 12 cm. The length of each side of the rhombus isA. 8 cmB. 9 cmC. 10 cmD. 12 cm

Let ABCD be a rhombus with diagonals AC and BD.

AC and BD bisect at O.

So, AO = = 8 cm

And BO = = 6 cm

In right angled triangle AOB,

AB2 = AO2 + OB2 (According to Pythagoras theorem)

AB2 = 82 + 62

AB2 = 64 + 36

AB = = 10 cm.

So, Length of Rhombus of each side is 10 cm.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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 RELATED QUESTIONS :

Which of the following statements are true for a square?

(ii) It has all its sides of equal length.

(iii) Its diagonals bisect each other at right angle.

(v) Its diagonals are equal to its sides.

RD Sharma - Mathematics

Which of the following statements are true for a rectangle?

(ii) It has all its sides of equal length.

(iii) Its diagonals are equal.

(iv) Its diagonals bisect each other.

(v) Its diagonals are perpendicular.

(vi) Its diagonals are perpendicular and bisect each other.

(vii) Its diagonals are equal and bisect each other.

(viii) Its diagonals are equal and perpendicular, and bisect each other.

(ix) All rectangles are squares.

(x) All rhombuses are parallelograms.

(xi) All squares are rhombuses and also rectangles.

(xii) All squares are not parallelograms.

RD Sharma - Mathematics