If the length of one diagonal and one side of a rhombus are 24 cm and 15 cm respectively, then find the length of other diagonal.
Answers
Answer:
Let the rhombus is ABCD, given that : AC=24cm and BD=18cm. Let the Diagonal of Rhombus bisect each other at right angles. Hence the each side of the rhombus is 15cm
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Given : the length of one diagonal and one side of a rhombus are 24 cm and 15 cm respectively,
To Find : the length of other diagonal.
Solution:
In a rhombus :
Side² = (d₁/2)² + (d₂/2)²
d₁ and d₂ are diagonals
=> 15² = (24 /2)² + (d₂/2)²
=> 15² = (12)² + (d₂/2)²
=> 225 = 144 + (d₂/2)²
=> 81 = (d₂/2)²
=> 9 = d₂/2
=> d₂ = 18 cm
Hence length of other diagonal. is 18 cm
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