Question

Find the measure of the sides of a rhombus if it's diagonal measure 35cm and 28cm

Answer 1

Answer:

22.4 cm is the right answer

diagram is in the picture

Given:- ABCD is a rhombus

To Find:- Sides of a rhombus

Solution:-

#we know diagonals of rhombus bisect each other

hence, OB= 14cm

OC=

$oc \: = \frac{35}{2} cm$

In right ∆BOC

BC=

$bc = \sqrt{ob^{2} + \: oc ^{2} }$

$({14})^{2} + \: ( \frac{ {35}}{2}) ^{2}$

$\frac{1}{2} \sqrt{784 + 1225}$

$\frac{1}{2} \sqrt{2009}$

$bc \: = 22.4$

hence, side is 22.4 cm