Question

The area of rhombus is 120 cm² and one of the diagonals is 8 cm. find the other diagonal​

Answer 1

Answer:

30 cm

Step-by-step explanation:

Area = d1 * d2/2

120 = 8*d2/2

d2 = 120/4

=30 cm

Answer 2

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.