The area of a rhombus is 65 square units. The length of one diagonal is 13 units. What is the length of the other diagonal? 5 units 6 units 10 units 12 units

Respuesta :

Answer:

The length of the other diagonal is 10 units

Step-by-step explanation:

we know that

The area of a Rhombus is equal to

[tex]A=\frac{1}{2}[D1D2][/tex]

where

D1 and D2 are the diagonals of the rhombus

we have

[tex]A=65\ units^{2}[/tex]

[tex]D1=13\ units[/tex]

substitute in the formula and solve for D2

[tex]65=\frac{1}{2}[(13)D2][/tex]

[tex]130=[(13)D2][/tex]

[tex]D2=130/13=10\ units[/tex]

Answer:

10

Step-by-step explanation: