 # Asa Shortcut Essay

Decent Essays
For this activity we were asked to explain different shortcuts we could use to prove two triangles congruent, and to find which shortcuts were cheapest to use. To do this, I began by looking at all the different congruence shortcuts. I found 3 possible shortcuts using SAS theorem, one for each angle. I also found 3 shortcuts that used ASA theorem, one for each side. Next I discovered the 6 possible shortcuts that used ASA, and the 1 shortcut that used SSS. Last I found the 2 possible shortcuts that used HL theorem, one for each leg of the triangle. In all I identified 15 usable shortcuts. After finding all the shortcuts I could use, and recording them in the chart. I calculated the cost of measuring each component of the shortcuts by multiplying…show more content…
To use this shortcut, you need to measure the 100 yard side, which costs \$2,500, the 60° angle, which costs \$4,500, and the 200 yard side, which costs \$5,000. The total cost of this shortcut is \$12,000, which is exactly at the budget. The second shortcut also uses SAS theorem. To use this shortcut you need to measure the 173 yard side, which costs \$4,325, the 30° angle, which costs \$2,250, and the 200 yard side, which costs \$5,000. That means this shortcut’s total cost is \$11,575. The next shortcut uses ASA theorem, and it requires you to measure the 30° angle, which costs \$2,250, the 200 yard side, which costs \$5,000, and the 60° angle, which costs \$4,500, for a total cost of \$11,750. Another within budget shortcut uses the AAS theorem. This shortcut requires you to find the measures of the 30° angle, the 90° angle, and the 100 yard side, which costs \$2,500, \$6,750, and \$2,500 respectively. That means this shortcut has a total cost of \$11,500. The next shortcut also uses AAS. To use it you need to measure the 30° angle, which costs \$2,250, the 60° angle, which costs \$4,500, 173 yard side, which costs \$4,325. In total this shortcut costs \$11,075. Another shortcut uses SSS theorem, and it requires for you to measure every side. The 173 yard side costs \$4,325, the 100 yard side costs \$2,250, and the 200 yard side costs \$5,000, making the total cost