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Answer:
24cm
Step-by-step explanation:
Perimeter of a rhombus = 4a
a is the side of the rhombus
52 = 4a
a = 52/4
a = 13cm
If the length of the shorter diagonal of a rhombus is 10 centimeters, then the length of the other diagonal is expressed as;
L = 2 * √a²-(s/2)²
s is the length of the shorter diagonal
Given
a = 13cm and s = 10cm, substitute
L = 2 * √13²-(10/2)²
L = 2*√169-5²
L = 2*√169-25
L = 2*√144
L = 2*12
L = 24cm
Hence the length of the longer diagonal is 24cm