SOLUTION: The side of a rhombus is equal in length to that of the shorter diagonal. If the longer diagonal is 12cm, find its area
Algebra.Com
Question 424930: The side of a rhombus is equal in length to that of the shorter diagonal. If the longer diagonal is 12cm, find its area
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
Solution:As we know rhombus diagonals are perpendicular and bisect each other.
Base on the given data the shorter diagonal is equal to the side of rhombus that means it divide the rhombus on two equilateral triangles.
Denote x cm the side of rhombus and use the Pythagorean theorem to find it:
=>
, is the length of shorter diagonal.
Since the area of rhombus is equal to the half of diagonals product we have:
AMP Parsing Error of [ A=1/2*(4*sqrt(3)*12]: Invalid expression. Closing bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 187.
.
RELATED QUESTIONS
the shorter diagonal of rhombus is equal to one of its sides.
(a) find each diagonal... (answered by venugopalramana)
please illustrate the figure..The shorter diagonal of rhombus is equal to one of its... (answered by venugopalramana)
the shorter diagonal of rhombus is equal to one of its sides. the length of a side of the (answered by venugopalramana)
The length of the shorter diagonal of a rhombus Is 12cm
. A)given That the erea of the... (answered by mananth,MathTherapy)
The perimeter of a rhombus is 60. If the length of its longer diagonal measures 24, what (answered by edjones)
The perimeter of the rhombus is 20dm and one of its longer diagonal is 8dm:calculate the... (answered by MathLover1,MathTherapy)
One of the diagonal of a rhombus is equal to one of its side. Find the angles of the... (answered by ikleyn)
Find the angles of a rhombus in which a diagonal length is equal to the length of a... (answered by ikleyn)
The side of a rhombus is half the longer diagonal.The height of the rhombus is 3cm and... (answered by Fombitz,ikleyn)