1.

Find the area of a rhombus having side equal to 13 cm and one of its diagonals 10 cm​

Answer»

Answer:

Given

Side of RHOMBUS =13 cm

Length of diagonal AC=10 cm

∴ OC=5 cm

Since, the diagonals of a rhombus bisect each other at RIGHT angles.

So, △BOC is right-angled.

Then, by PYTHAGORAS Theorem we have

BC

2

=OC

2

+OB

2

⇒13

2

=5

2

+OB

2

⇒OB

2

=169−25=144

⇒OB=

144

=12cm

Hence,

diagonal BD=2×OB=2×12=24 cm

(ii) Area of rhombus =

2

1

×d

1

×d

2

=

2

1

×10×24=12 cm

2


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