Find the area of a rhombus whose one side measures 5cm and diagonal as 8cm
Answers
Answered by
55
Use heron's formula to find the areas of triangles and then add it.
Attachments:
Answered by
21
Area of a rhombus is 24 .
Step-by-step explanation:
Given:
Let ABCD be the given rhombus with diagonals AC and BD which intersect each other at O such that AC = 8 cm.
Since diagonals of a rhombus bisect each other, we get
Let BO = x and AB = 5 cm (given).
We know that diagonals of a rhombus cut each other at right angles. So ΔAOB is a right angled triangle.
Using Pythagoras theorem in ΔAOB, we get
x = 3 cm
Thus the length of another diagonal BD is,
BD = 2x = 6 cm.
Therefore the area of the rhombus is given by,
Area of rhombus =
Area(ABCD) =
=
=
Area of a rhombus is 24 .
Attachments:
Similar questions