if the side of a rhombus is 10 and one digonal is 16 cm. area of rhombus is 96 cm . state weather the statement is true or false and justify ur answer
Answers
Answered by
2
Area of a rhombus is d1xd2/2
where d1= diagonal 1
d2= diagonal 2
we will apply Pitagora to find out the half of the other diagonal (notated with a)
10^2=8^2+a^2
100=64+a^2
a^2=100-64
a^2=36
a= sqare root from 36
a=6
The other diagonal is 6x2=12
SO...
d1=12
d2=16
Area=12x16/2
Area=156/2
Area=78
SO THE STATEMENT IS FALSE
where d1= diagonal 1
d2= diagonal 2
we will apply Pitagora to find out the half of the other diagonal (notated with a)
10^2=8^2+a^2
100=64+a^2
a^2=100-64
a^2=36
a= sqare root from 36
a=6
The other diagonal is 6x2=12
SO...
d1=12
d2=16
Area=12x16/2
Area=156/2
Area=78
SO THE STATEMENT IS FALSE
Answered by
0
It is false because the area should have the power 2 on its unit,i.e., sq.unit and the area given is 96cm
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Area=192/2
Area=96 And it's TRUE