Question

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Answer 1

Answer:

80 cm

Step-by-step explanation:

The diagonals divide the rhombus into four congruent triangles.  The height of each triangle is 18/2 = 9, and the hypotenuse is 41.  Using Pythagorean theorem, the width of each triangle is:

c² = a² + b²

41² = 9² + x²

x = 40

Therefore, the longer diagonal is 2×40 = 80.