Find the area of rhombus whose side is 5cm and whose altitude is 4.8cm if one of the diagonal is 8cm Long find the length of other diagonal
Answers
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Answer:
Given:-
The area of rhombus, side is 5cm and altitude is 4.8cm and one of its diagonal is 8cms.
To Find:-
Find the length of other diagonal. ....?
Solutions:-
Let the length of the other diagonal of the rhombus be x.
A rhombus is a special are of a parallelogram.
The area of a parallelogram is the product of its base and height.
Area of the Rhombus = base × height
= 5cm × 4.8cm
= 24cm²
Area of rhombus = 1/2 (products of its diagonal)
⟹ 24cm² = 1/2 × (8cm + x)
⟹ x = 24 × 2 / 8
⟹ x = 48/8
⟹ x = 6cm
Hence, the length of the other diagonal of the Rhombus is 6cm.
Some Important:-
A rhombus all side are equal.
A rhombus opposite angle are equal.
A rhombus the sum of adjacent angle angle supplementary i.e. (<A + <D = 180°).
A rhombus, each diagonal of a rhombus divides it into two congruent triangle.
A rhombus, if one angle is right, then all angle are right.
Diagonal of a rhombus bisect each other and also perpendicular to each other.
More important:-
Area of rhombus = b × h
Perimeter of rhombus = 4 × side
where,
b = base
h = height
p = perimeter
a = area