Posted by **Anna** on Tuesday, February 26, 2008 at 10:02pm.

The diagonals of a rhombus have lenghts 16 and 30. Find the perimeter of the rhombus.

- math -
**drwls**, Tuesday, February 26, 2008 at 10:15pm
The sides, which are equal since it is a rhombus, have a length dimension of sqrt (8^2 + 15^2) = sqrt(289) = 17, because the diagonals are perpendicular. The perimeter is therefore 4x17 = 68

- math -
**drwls**, Wednesday, February 27, 2008 at 10:23am
I am applying the Pythagorean theorem

a^2 + b^2 = c^2

c is the length of a side

a and b are half the lengths of the two diagonals. Draw yourself a picture with intersetinc diagonals and you will see the four congruent right triangles. Make sure you do it for a rhombus, which is a parallelogram with all sides equal.

## Answer This Question

## Related Questions

- Math - Which of the following statements is not always true? A. In a rhombus, ...
- geometry - Which of the following statements is not always true? A. In a rhombus...
- geometry - The diagonals of a rhombus are in 2:1. If the perimeter of the ...
- easy GEOMETRY!! - 1.The perimeter of parallelogram QUAD is 10 more than 5 times ...
- geometry - 1.The perimeter of parallelogram QUAD is 10 more than 5 times AU. If ...
- math PLEASE HELP - 1. A rhombus has a perimeter of 96, and the length of one of ...
- math - The area of a rhombus is 60cm^2. Given that one of its diagonals is 15 cm...
- maths - the length of the diagonals of a rhombus are 24cm and 32cm. the ...
- Math - The larger angles of a rhombus are twice the smaller angle of the rhombus...
- Math - the larger angles of a rhombus are twice the smaller angle of the rhombus...

More Related Questions