Q2 of 24 Page 194

The lengths of the diagonals of a rhombus are 16 cm and 12 cm. The length of each side of the rhombus is

Let ABCD be a rhombus with diagonals AC and BD.


AC and BD bisect at O.


So, AO = = 8 cm


And BO = = 6 cm


In right angled triangle AOB,


AB2 = AO2 + OB2 (According to Pythagoras theorem)


AB2 = 82 + 62


AB2 = 64 + 36


AB =


= 10 cm.


So, Length of Rhombus of each side is 10 cm.

More from this chapter

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14

Which of the following statements are true and which are false?

(i) The diagonals of a parallelogram are equal.


(ii) The diagonals of a rectangle are perpendicular to each other.


(iii) The diagonals of a rhombus are equal.


(iv) Every rhombus is a kite.


(v) Every rectangle is a square.


(vi) Every square is a parallelogram.


(vii) Every square is a rhombus.


(viii) Every rectangle is a parallelogram.


(ix) Every parallelogram is a rectangle.


(x) Every rhombus is a parallelogram.

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Two adjacent angles of a parallelogram are (2x + 25)° and (3x - 5)°. The value of x is

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The diagonals do not necessarily intersect at right angles in a