The diagonals of a rhombus are 14 cm and 48 cm. find the length of side of the rhombus.
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Answer:
25 cm
Step-by-step explanation:
Consider Rhombus ABCD in which Diagonal AC = 14 cm and BD = 48 cm bisect each other at point E (figure attached). We know that in a rhombus diagonals bisect at 90°.
Observe ΔAEB, which will be a right triangle where ∠AEB = 90°
∵ Diagonals bisect each other
∴AE = 7 cm and EB = 24 cm
Applying Pythagoras Theorem
AB² = AE² + EB²
AB² = 7² + 24²
AB² = 49 + 576
AB² = 625
AB = 25 cm
∴ Sides of Rhombus are 25 cm each [All sides in a rhombus are equal]
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