Question

the length of the diagonals of a rhombus arw l6cm and 12cm, then the length of the side of the rhombus is:
A)9cm
B)8cm
C)10cm

D)20cm

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Answer 1

Answer:

Answer is C) 10 cm

Explanation Below

Answer 2

C ) 10 cm

Sol: If Suppose ABCD is a rhombus

and AC and BD are Diagonals Such that

AC= 16cm and BD = 12 Cm

we k/t Diagonals of a rhombus are prependicular and bisect each other

So AC is prependicular and bisector of BD at O

so AO= 8cm and BO= 6cm

also in Right ∆ AOB, By Pythagoras theorem

sq of hypt = sq of Base + sq of Prependicular

sq of AB = sq of BO + sq of AO

sq of AB = sq of 6cm + sq of 8cm

sq of AB = 36cm sq+64cm sq

sq of AB = 100 cm sq

AB =✓100 cm sq

AB = 10 cm