ABCD is a rhombus in which length of diagonal is 48 cm and side is 25 cm. Find the sum
of the length of diagonals.
Answers
Answered by
3
Answer:
sum of ABCD rhombus of diagonal is = ?
48cm is = length.
25cm is = side ( length)
There four : sum of total length of diagonal is = 73cm.
Answered by
3
Answer:
62 cm
Step-by-step explanation:
Let rhombus ABCD with diagonal AC and BD intersecting at O.
-As we know that in a rhombus all sides are equal
therefore AB=BC=CD=DA=25 cm
-also, diagonals of a rhombus intersect at 90°. therefore triangle ADO is a right angled triangle.
- Here let AC be 48 cm. So, AO will be 24 cm as diagonals of parallelogram bisect each other. and rhombus is a parallelogram.
- By Pythagoras theorem, DO = 7 (as AO is 24 cm and AD is 25 cm.
- So, DB is 2* 7 = 14 cm.
-Therefore, sum of diagonals is AC+ BD = 48 cm+14 cm = 62 cm
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