Rhombus: quadrilateral all of whose sides have the same length.
Area of A Rhombus: A rhombus is actually just a special type of parallelogram. The "base times height" method: First pick one side to be the base. Any one will do, they are all the same length. Then determine the altitude - the perpendicular distance from the chosen base to the opposite side. The area is the product of these two, or, as a formula: Area = base x height:.
The "diagonals" method: Another simple formula for the area of a rhombus when you know the lengths of the diagonals. The area is half the product of the diagonals. As a formula: Area = where, d1 is the length of a diagonal and d2 is the length of the other diagonal
Example: Find the area of a rhombus having each side equal to 13 cm and one of whose deiagonals is 24 cm. Solution : Let ABCD be the given parallelogram whose diagonals intersect at O. We have, AB = 13 cm and AC = 24 cm. Since the diagonals of a rhombus bisect each other at right angles. Therefore, AOB is a right triangle, right angled at O such that and AB = 13cm. Using Pythagoras theorem, in AOB, we have = + = + = - = 169 - 144 = 25 = Hence, OB = 5 cm Also, BD = 2 x OB = 10cm Hence , Area of rhombus ABCD = |
If the perimeter of a rhombus is 4a and the lengths of its diagonals are x and y, then its area is ___________________. | |||
Right Option : D | |||
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If the length of two diagonal of a rhombus are 12 cm and 16 cm, then the length of each side of the rhombus are : | |||
Right Option : A | |||
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The diagonals of a rhombus are 8 cm and 10 cm. Then the area of the rhombus is ______________________. | |||
Right Option : D | |||
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Third consective year,my ward is in Abhyas with nice experience of admin and transport support.Educational standard of the institute recumbent at satisfactory level. One thing would live to bring in notice that last year study books was distributed after half of the session was over,though study ...
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