# math

posted by Anna

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

1. drwls

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

2. anna

why would you add (8^2 + 15^2)

3. drwls

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.

## Similar Questions

1. A rhombus has a perimeter of 96, and the length of one of its diagonals is 32. The area of the circle inscribed in the rhombus can be expressed as k*pi/w where k and w are relatively prime positive integers. Find the value of k …
2. ### geometry

The diagonals of a rhombus are in 2:1. If the perimeter of the rhombus is 120cm, find the length of the diagonals.
3. ### easy GEOMETRY!!

1.The perimeter of parallelogram QUAD is 10 more than 5 times AU. If QU =26 cm. find AU 2.If diagonals of a rhombus are 10 cm and 24 cm. find the area and perimeter of the rhombus SOlutions pleaseeeeeee
4. ### Math

Which of the following statements is not always true?
5. ### geometry

1.The perimeter of parallelogram QUAD is 10 more than 5 times AU. If QU =26 cm. find AU 2.If diagonals of a rhombus are 10 cm and 24 cm. find the area and perimeter of the rhombus SOlutions pleaseeeeeee
6. ### geometry

Which of the following statements is not always true?
7. ### Maths

The diagonals of a rhombus are in the ratio 3:4. If its perimeter is 40 cm, find the lengths of the sides and diagonals of the rhombus
8. ### maths

The diagonals of a rhombus are in the ratio 3:4. If its perimeter is 40 cm, find the lengths of the sides and diagonals of the rhombus
9. ### Math

the diagonals of a rhombus are in the ratio 3:4. if its perimeter is 40cm then find the length of the sides and diagonals of the rhombus
10. ### math

Diagonal of a rhombus are in the ratio 3:4. If its perimeter is 40cm, find the length of the side and diagonals of rhombus

More Similar Questions