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The diagonals of a rhombus are 6 and 4. What is the measure of each side?

a.5
b.√13
c.4
d.√52

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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