The length of the diagonal of the rhombus is 24 cm if the side of rhombus is 13 cm find the lenght of the other diagonal.
Answers
Answer:
hence rhombus diagonal bisect perpendicularly you can easily find it by pythagoras theorem and 2 times add the base s the diagonal would be there
Answer:
10 cm
Step by step explanation:
Let the name of the rhombus be ABCD
Therefore, length of any one diagonal,
Let's consider diagonal AC =24 cm
ans side AD=13 cm
And mark point of intersection of diagonals as O
Therefore, AO=1/2*24 ___ the diagonals of a rhombus
are perpendicular bisectors of each other.
Therefore, AO=12cm
By Pythagoras theorem,
ADsq. =AOsq. + ODsq.
13sq.=12sq. + ODsq.
169= 144+ ODsq.
169-144=ODsq.
25=ODsq.
OD = √25
OD = 5 cm
Therefore, diagonal BD =2×5=10 cm ___ the diagonals of a rhombus are perpendicular bisectors of each other.