Posted by **Ariel** on Saturday, June 12, 2010 at 1:37am.

In a rhombus, one diagonal has a length of 10 cm and the area is 120 cm2. Find the length of one side.

a.)10cm

b.)12cm

c.)13cm

- Geometry HELP -
**drwls**, Saturday, June 12, 2010 at 1:58am
A rhombus has equal side lengths. The two intersecting diagonals create four congruent right triangles of area 30 cm^2 each.

Let side length = a

30 = (1/2)*5* sqrt(a^2 -5^2)

12 = sqrt(a^2 -25)

144 = a^2 -25

a^2 = 169

a = 13

The length of the other diagonal is

2*sqrt[(13^2 - 5^2)] = 24 cm

Interesting problem!

- Geometry HELP -
**Ariel**, Saturday, June 12, 2010 at 2:15am
This is an interesting problem:) Thanks!!

## Answer This Question

## Related Questions

- Math - The length of each side of a rhombus is 10cm.if area of its diagonal is ...
- Math - The length of each side of a rhombus is 10cm.if one of its diagonl is ...
- Geometry - The area of a rhombus is 31 feet squared one diagonal is 14 ft long. ...
- Math PLZZZ HELPP MEE!!! - the area of the parallelogram. Quadrilateral top: 5 cm...
- Geometry - The length of each side of a rhombus is 16. The longer diagonal has ...
- geometry - The length of the smaller of the two diagonals of a rhombus is 12 and...
- geometry - A rhombus has a diagonal with a length of 17 ft. and a side ...
- geometry - A rhombus has base angles of 60 and 120. The length of each side is ...
- Geometry - Two sides of a rhombus form a 120º angle. The length of each side is ...
- Geometry - Two sides of a rhombus form a 120º angle. The length of each side is ...

More Related Questions