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Question

The side of a rhombus is 10 cm and one diagonal is 16 cm. The area of the rhombus is

A
96cm2
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B
48cm2
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C
24cm2
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D
Data Insufficient to calculate area
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Solution

The correct option is C 96 cm2

Given: Sides of rhombus =10 cm

One Diagonal =16 cm

For triangle ABC, we have

three sides are: a=AB=10 cm,b=BC=10 cm,c=AC=16 cm
Semi-perimeter, s=a+b+c2=10+10+162=362=18

Area of the triangle ABC=s(sa)(sb)(sc)

=18(1810)(1810)(1816)

=18(8)(8)(2)

=2304

=48 cm2
Area of the rhombus ABCD =2×(Area of the triangle ABC)

[ Sides of both triangle ABC and triangle ADC are same]
=2(48)=96 cm2


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