The two diagonals of parallelogram PQRS are 36 cm and 48 cm long. If the parallelogram is a rhombus, what is the length of side PQ?

30 cm

42 cm

12 cm

15 cm

Question

The two diagonals of parallelogram PQRS are 36 cm and 48 cm long. If the parallelogram is a rhombus, what is the length of side PQ?

30 cm

42 cm

12 cm

15 cm

mathstudent55 · Answer

Rhombus means all sides are congruent.
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anonymous · Answer

i got that part

mathstudent55 · Answer

Name the point of intersection of the diagonals A.
Now look at any of the triangles, for example, PQA. The diagonals of a rhombus are perpendicular. You have a right triangle, PQA, with angle PAQ being the right angle, and having legs of 24 and 18 length. The side you are looking for, PQ, is the hypotenuse.

anonymous · Answer

there is no "a" on your  drawing

mathstudent55 · Answer

Yes, that's why I stated "name the point of intersection of the diagonals A"

anonymous · Answer

never mind i got the answer its 30

mathstudent55 · Answer

Correct

anonymous · Answer

can you answer my other questions its on top of the list

anonymous · Answer

now its second