```Question 539623
If you recall your multiplication tables, you can tell at first glance that 5, 10, and 12 do not define a right triangle.
.
We have the Pythagorean Theorem to guide us in solving right triangles.
c^2 = a^2 + b^2, where c = hypotenuse
.
5^2 = 25
10^2 = 100
12^2 = 144
.
144 is not equal to 100 + 25
.
There are several right triangles worth remembering.
1, 1, sqrt(2) is an isosceles triangle
1, sqrt(3), 2 is a 30-60-90 triangle
3, 4, 5 is a classic that is often used in carpentry
5, 12, 13 is good to remember, too
.
done.
```
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "http://www.algebra.com/cgi-bin/show-question-source.mpl?solution=353485", "fetch_time": 1368959112000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2013-20/segments/1368697380733/warc/CC-MAIN-20130516094300-00086-ip-10-60-113-184.ec2.internal.warc.gz", "warc_record_offset": 315864032, "warc_record_length": 973, "token_count": 187, "char_count": 547, "score": 3.734375, "int_score": 4, "crawl": "CC-MAIN-2013-20", "snapshot_type": "latest", "language": "en", "language_score": 0.8844335675239563, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00008-of-00064.parquet"}