Question

the side of a rhombus is 5 cm. if the length of one diagonal of the rhombus is 8 cm then find the length of the other diagonal​

Answer 1

Answer:6 cm

Step-by-step explanation:

Costruct a rhombus ABCD with diagonals intersect at O

Diagonal of a rhombus bisect each other at right angles

So, O = 90° OA = 4 cm

In triangle AOB, by Pythagoras theorem

OB^2 = AB^2 - OA^2

OB^2 = 5^2 + 4^2

OB = 3 cm

So, length of the diagonal is 2OB

= 6 cm.

Hope it helps

Answer 2

Answer:

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6 cm