Respuesta :
Answer:
Each side of the rhombus is the hypotenuse of a right triangle whose legs are the semi-diagonals.
The semi-diagonals have lengths 6/2 = 3, 4/2 = 2.
Therefore, from the Pythagorean Theorem, each side measures
sqrt(3^2 + 2^2) = sqrt(13).
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Step-by-step explanation:
The measure of each side of a rhombus with diagonals as 6 and 4 is √13.
How to find side length of a rhombus?
The diagonal of the rhombus are 6 and 4 respectively.
The formular to find the side length of a rhombus is express as follows;
a = √p² + q² / 2
where
- p and q are the diagonals
- a = side length
Therefore,
6² = 36
4² = 16
Hence,
a = √36 + 16 / 2
a = √52/2
a = 2√13 / 2
a = √13
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