3.3+Finding+Distances+0910

25/10/09 CT Big Idea: The dimensions of a right angle triangle can be determined with limited information. Essential Question: How can I find the perimeter of a right triangle? Notes: In class we went over 3.2, and students showed how they fit the puzzle pieces together. We started 3.3 and finished it for homework.

In this problem, I have used abbreviations which are listed here: L= leg h or hypo = hypotenuse

**A. 1. //On the grid on Labsheet 3.3, draw a line segment connecting points A and B. Draw a right triangle AB as its hypotenuse.//** Leg 1= 5u² Leg 2= 2u²
 * 2. //Fin the lengths of the lengths of the triangles.//**

L²+L²= h² 5²+2² =h² 25+4=h²
 * 3. //Use the Pythagorean Theorem to find the length of the hypotenuse of the triangle.//**

L²+L²=h² 4²+3²=h² 16+9=h² //√// 25= //√// h² //√// 25= //√// h
 * B. //Use the method described in part A to find the distance between points C and D.//**

L²+L²=h² 6²+3²=h² 36+9=h² //√// 45= //√// h² //√// 45= //√// h
 * C. //Use the method described in part A to find the distance between points E and F.//**

__3.3 Follow-up__ I dropped a right triangle underneath the line, found the length of each leg, and did the equation: L²+L²=h² 2²+3²=h² 4+9=h² //√// 13= //√// h² //√// 13= //√// h
 * // On a sheet of dot paper, find two points that are //**//√//**// 13 units apart. Label the points X and Y. Explain how you know that the distance between the points is //**//√//**// 13. //**