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What is the shortcut to find the shortest side b in a 30,60,90 triangle with hypotenuse 20?
Notes
```svg <svg width="400" height="300" xmlns="http://www.w3.org/2000/svg"> <line x1="50" y1="250" x2="350" y2="250" stroke="black" stroke-width="2"/> <line x1="50" y1="250" x2="50" y2="50" stroke="black" stroke-width="2"/> <line x1="50" y1="50" x2="350" y2="250" stroke="black" stroke-width="2"/> <text x="200" y="140" font-family="Arial" font-size="20" fill="black">20</text> <text x="30" y="150" font-family="Arial" font-size="20" fill="black">b</text> <text x="200" y="270" font-family="Arial" font-size="20" fill="black">a</text> <text x="320" y="240" font-family="Arial" font-size="20" fill="black">30°</text> <rect x="50" y="230" width="20" height="20" fill="none" stroke="black" stroke-width="2"/> </svg> ``` NOTES: Use Trig to Find Missing Sides Find the missing sides (a and b): There are at least 2 ways to do this: 1) Remember that this is a common 30,60,90 right triangle. 2) Use sines and cosines, with algebra. --- ``` Noteworthy! NOTES: Use Trig to Find Missing Sides Find the missing sides (a and b): METHOD 1 When the angles are 30,60,90 there is a shortcut for calculating the missing sides. 20 b 30° a To solve for b (shortest side): divide the hypotenus...
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