THE length of diagonal of rhombus are 24 cm and 10 cm find the lengthbof each sides
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5
Answer:
Here is your answer dear
Step-by-step explanation:
Diagonals meet at the centre and forms right-angled triangles. Hence the side of the rhombus is 13cm. = 52cm.
Answered by
18
=> Let ABCD be the rhombus where, AC = 10 cm and BD = 24 cm
=> Let AC and BD intersect each other at O. Now, diagonals of rhombus bisects each other at right angles.
=> Thus, we have
=> AO = 1/2 × AC = 1/2 × 10 = 5 cm and
=> BO = 1/2 × BD = 1/2 × 24 = 12 cm
In right angles AOB,
=> (AB)² = (AO)² + (BO)²
=> (AB)² = (5)² + (12)²
=> (AB)² = 25 + 144
=> (AB)² = 169
:- AB = 13 cm
:- The length of each side of rhombus is 13 cm.
I hope this will help you dear..
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