Calculating+Shorter+Sides

__**Calculating Shorter Sides **__ "Pythagoras Switch" is a Japanese children's show which features contraptions that usually involve marbles, dominoes and tubes. media type="youtube" key="XSmfXfsHhqo?rel=0" height="360" width="480" align="center" Here is a much better Pythagoras Switch, known in the USA as a Rube Goldberg Machine. media type="youtube" key="qybUFnY7Y8w?rel=0" height="360" width="640" align="center" Open this file and save it to your laptop for the notes on today's lesson. Now attempt the questions below. 1. Calculate the value of the pronumeral in each of the following (all answers are integers).  2. Calculate the length of the unknown short side, expressing your answer as a surd.  3. Calculate the length of the unknown short side, expressing your answer correct to 1 decimal place.  4. Calculate the value of the pronumeral in each question, correct to 2 decimal places.  Here is an extension question for fast finishers. 5. 