1. ## Leg squared theorem

I took notes in class on this theorem, but still don't understand how to do it. Can someone explain how this works/what to do?

2. ## Re: Leg squared theorem

Originally Posted by jgolden1
I took notes in class on this theorem, but still don't understand how to do it. Can someone explain how this works/what to do?
What you have are three similar right triangles. The tedious part is figuring the correct correspondences.
Here is one $\Delta ACB \simeq \Delta ADC$ .
Can you find two more?
Then read off the corresponding proportionals and cross multiply.

3. ## Re: Leg squared theorem

You can prove $h^2=xy$ by using pythagoras' theorem for the big triangle and the two smaller triangles.
and you can prove that $a^2=yc$ and $b^2=xc$ by using $h^2=xy$ and pythagoras' theorem for the smaller triangles
{"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 4, "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://mathhelpforum.com/geometry/229250-leg-squared-theorem.html", "fetch_time": 1501117082000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2017-30/segments/1500549426693.21/warc/CC-MAIN-20170727002123-20170727022123-00387.warc.gz", "warc_record_offset": 209466460, "warc_record_length": 10763, "token_count": 211, "char_count": 832, "score": 3.515625, "int_score": 4, "crawl": "CC-MAIN-2017-30", "snapshot_type": "longest", "language": "en", "language_score": 0.9615667462348938, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00021-of-00064.parquet"}