A 30-60-90 triangle has its short leg 5. Find the hypotenuse
In a 30-60-90 the hypotenuse is twice the short leg.
2 times 5.
The answer is 10.
Where students go wrong
Doubling the wrong side. It is the short leg that doubles to give the hypotenuse, not the long one. The long leg is the short leg times root 3, which is never a whole number.
Also called 45 45 90 triangle, 30 60 90 triangle or special triangles.
Questions about these worksheets
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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 special right triangles 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.
Doubling the wrong side. It is the short leg that doubles to give the hypotenuse, not the long one. The long leg is the short leg times root 3, which is never a whole number.