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Class 7 - (Math )
Geometry - Properties of quadrilateral
The perimeter of a rhombus is 52 cm and one of its diagonals is 10 cm, then what is the length of the other diagonal?
a :
24 cm
b :
12 cm
c :
26 cm
d :
20 cm
Explanation :
Side = 52/4 = 13 cm. The diagonals of a rhombus bisect each other at right angles. By Pythagorean theorem: (d₂/2)² = 13² - 5² = 169 - 25 = 144. Half-diagonal = 12 cm, so full diagonal = 24 cm.