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area of rohmbus is 120 cm ^2 and it's one diagonal is 24 . then find each side . please don't spam . ​

Answer»

Area of rhombus A = (d1d2)/2 => 120 = (24)(d2)/2 => d2 = 10 cm. Length of SIDE of rhombus s = HYPOTENUSE of right triangle h with HALF the LENGTHS of the two diagonals d1, d2 as the other two sides at right angles. h^2 = (d1/2)^2 + (d2/2)^2 => h^2 = (24/2)^2 + (10/2)^2 = 12^2 + 5^2 => h = 13 cm => length of side of rhombus s = 13 cm.



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