Question

in a rhombus, length of a side and one diagonal are 13cm,and 10cm respectively.find the length of its other diagonal.


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Answer 1

Answer:

10cm is the length of other diagonal

Answer 2

as the diagonals of a rhombus bisect each other at 90°

BD=10cm

1/2 BD =BO=5cm

angle BOC=90°

in triangle BOC, By Pythagoras theorem

(BO) ^2 + (CO)^2 = (BC) ^2

(5)^2 + (CO) ^2 = (13)^2

25 + (CO) ^2 = 169

(CO) ^2 = 169-25

(CO) ^2 = 144

CO=√144

CO=12cm

AC = 2*CO=24cm

therefore the length of other diagonal is 24cm