Rhombus perimeter from diagonals 24 cm and 10 cm: Find the perimeter of the rhombus.

Introduction / Context:Diagonals of a rhombus are perpendicular and bisect each other. Each side is the hypotenuse of a right triangle with legs equal to half the diagonals.

Given Data / Assumptions:

• d₁ = 24 cm, d₂ = 10 cm.

Concept / Approach:Side s = √((d₁/2)^2 + (d₂/2)^2) = √(12^2 + 5^2) = 13. Perimeter = 4s.

Step-by-Step Solution:

Verification / Alternative check:Classic 5-12-13 right triangle confirms the side.

Why Other Options Are Wrong:56, 68, 72 assume incorrect side lengths.

Common Pitfalls:Using full diagonals instead of halves when forming the right triangle.

Final Answer:52.