The diagonals meet at right angles and cut each other in half, so each quarter of the shape is a right triangle with half of each diagonal for legs. That is why the side comes from Pythagoras and the area is half the product.
Using the whole diagonals as the legs. They bisect each other, so only half of each meets at the corner, and using both in full doubles the side.
Also called diagonals of a rhombus, area of a rhombus or kite properties.
What you can put on this worksheet
Area from the diagonals
Find the area→ 1080
The side from the diagonals
Find the side→ 39
The other diagonal
The side is 39. Find the other diagonal→ 72
Questions about these worksheets
Yes. Every rhombuses and kites sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.
Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.
Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.
Geometry is usually taken around 9th or 10th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.
Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.
That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the rhombuses and kites questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.
Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.
You pick from 3: area from the diagonals, the side from the diagonals and the other diagonal. Tick as many as you want and set how many of each, or let it spread them evenly.
Using the whole diagonals as the legs. They bisect each other, so only half of each meets at the corner, and using both in full doubles the side.