2. One of the diagonals of a rhombus is 48 cm long and the length of each side of the rhombus
26 cm. Find the length of the other diagonal and also find the area of the rhombus.
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Second diagonal measures= 52cm
Area of rhombus=1248 cm^2
Step-by-step explanation:
Given side s =26cm
Diagonal d = 48cm
Therefore By the problem,
All rhombus can be parallelogram
Then, the area of the Rhombus = the area of the parallelogram
The area of the parallelogram = b×h
= 48×26
= 1248
The area of the Rhombus = 1248
Formula for area of rhombus=
(diagonal1xdiagonal2)/2
Let diagonal 2 be x. then,
(d1xd2)/2 = 1248
(48×x)/2 = 1248
48x = 1248x2
x = (1248x2)/48
x = 52
Hence area=
48*52/2
=1248 cm^2
Hence confirmed.
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