CBSE Class 9 Answered
ABCD is a Rhombus in which BC = 25cm, AD = 24cm.
Find the sum of lengths of the diagonals.
Asked by riya.yanamandra | 19 Oct, 2020, 06:45: AM
Expert Answer
Diagonals of a rhombus are perpendicular to each other.
In triangle AOB, we have:
AO = 24 cm
AB = 25 cm
So, by Pythagoras theorem, we have:
BO = square root [(25)2 - (24)2] = 7 cm
Also, the diagonals of a rhombus bisect each other.
So, AC = 2AO = 48 cm
and BD = 2BO = 14 cm
Thus, sum of lengths of diagonals = 48 cm + 14 cm = 62 cm
Answered by Renu Varma | 19 Oct, 2020, 10:54: AM
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