the area of a rhombus is 90 square units. If one diagonal is 10 units, find the length of the other diagonal

18 units

Step-by-step explanation:

Area of rhombus is given by 1/2 (product of length of diagonals).

Given

Area of rhombus = 90 sq. units

length of one diagonal = 10 units

let the length of other diagonal be x units

Substituing the value given above in formula for area of rhombus we have

90 = 1/2 (10*x)

=> 90*2 = 10x

=> 180 = 10x

=> x = 180/10 = 18

Thus, length of other diagonal is 18 units.