"Question 6 Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm. If one of its diagonals is 8 cm long, find the length of the other diagonal.
Class 8 Mensuration Page 178"
Answers
Mensuration:
Mensuration is the branch of mathematics which concerns itself with the measurement of Lengths, areas & volume of different geometrical shapes or figures.
Plane Figure: A figure which lies in a plane is called a plane figure.
For e.g: a rectangle, square, a rhombus, a parallelogram, a trapezium.
Perimeter:
The perimeter of a closed plane curve is the total length of the curve.
Unit of perimeter is a unit of length.
Area: the area of the plane figure is the surface enclose by its boundary.
A square centimetre (cm²) is generally taken at the standard unit of an area. We use square metre (m²) also for the units of area.
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Solution:
Given:
Side of a rhombus= 6cm
Altitude= 4cm
One diagonal(d1)= 8cm
A rhombus is also a parallelogram
Area of rhombus= base× Altitude
Area of rhombus = 6× 4
Area of rhombus =24 cm²
Let d2 be the other diagonal,
Area of Rhombus=1/2×d1×d2
24=(1/2) ×8 × d2
24= 4× d2
d2 = 24/4= 6
Hence, the length of the Other diagonal is
6 cm
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Hope this will help you...
Step-by-step explanation:
Thus, the length of the other diagonal of the rhombus is 6 cm.
