if one side and diagonal of a rhombus are 5 cm 8..., Area, General Mathematics

Question:If one side and one diagonal of a rhombus are 5 cm and 8 cm respectively, then its area is :

A `20 cm^2` 
B `24 cm^2` 
C `40 cm^2` 
D `26 cm^2`

/98

+ AnswerB

+ ExplanationHalves of diagonals & side of a rhombus from a right angled triangle with side as hypotenuse.

Let another diagonal = 2x.

Then, `x^2 + (8/2)^2 = 5^2 or x^2`

      `= (5^2 - 4^2)`

     `= 9 or x = 3.`

:. Another diagonal = 6 cm.

:. Area` = (1/2 xx 8 6) sq.cm = 24 sq. cm.`

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