SOLUTION: The lengths of the diagonals of a rhombus are 14 and 16. Find the measure of the length of the sides of a rhombus.

Algebra.Com
Question 1177620: The lengths of the diagonals of a rhombus are 14 and 16. Find the measure of the length of the sides of a rhombus.
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!

Area of Rhombus = (1/2) diagonal1 * diagonal 2
= (1/2) * 14*16
=112 cm^2

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.


            It looks like  @mananth did not read the post,  at all.

            Otherwise,  he  (or she)  would not write something  IRRELEVANT  to the problem.

            I came to bring you the correct solution and the correct answer.


The diagonals of a rhombus (of any rhombus) cut it in 4 (four) congruent right-angled triangles.


One leg of such triangle is half of one diagonal.

The other leg of such triangle is half of the other diagonal.


So, you have 4 right-angled triangles with the legs of 7 and 8 units each.


Then the hypotenuse of each such a triangle is   =  =  = 10.63 units (rounded).


It is the side length of any of 4 (four) sides of the rhombus.    ANSWER

Solved.


////////////


For your safety,  ignore the post by  @mananth,  since it is  IRRELEVANT  to the problem.


As  I  just said several years ago,  @mananth needs two helpers to work at this forum successfully:

        - one assistant to read the problems to him  (or to her)  and explain their meaning,

        - and the other assistant to edit and re-write his  (or her)  solutions after him  (or her).


Currently,  I alone perform the duties of these two assistants.

And I can not say that I am extremely happy of it . . .




RELATED QUESTIONS

Diagonals of a rhombus are of lengths 16cm and 12cm.find the length of it's... (answered by Theo)
The lengths of the diagonals of a rhombus are 20 and 48 meters. What is the... (answered by ikleyn)
a rhombus has sides of length 10 inches, and the lengths of its diagonals difference by 4 (answered by CharlesG2)
The length of the diagonals of a rhombus are 16cm and 12cm respectively. Find the length... (answered by ikleyn)
The diagonals of a rhombus have lengths of 12 centimeters and 16 centimeters. What is the (answered by edjones)
the diagonals of a rhombus are perpendicular and bisect each other. Find the length of... (answered by CubeyThePenguin)
the diagonals of a rhombus are perpendicular and bisect each other. Find the length of... (answered by CubeyThePenguin)
the sides of a rhombus measure 12 inches and one of the acute angles measures 50 degrees. (answered by josgarithmetic)
if the diagonals of a rhombus have lengths of 18 and 24, how long are the... (answered by scott8148)