the perimeter of rhombus 52 cm and one of its diagonal is 10 centimetre find the length of the Other diagonal and area of Rhombus
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Answer:
Other diagonal = 24cm
Area = 120cm²
explanation :
perimeter of a rhombus = 52cm
each side = 52/4 = 13cm
one of the diagonal P = 10cm
using pythagoras theorem taking one inner triangle of a rhombus with diagnoal D1 as base and other diagonal as Q
13² = (10/2)² +(P/2)²
(P/2)² = 144
(P/2) = 12
P = 24cm
Area of the rhombus = P x Q /2
=>24 x 10 /2 = 120cm²
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