Objective: Apply solving radical equations to pythagorean theorem problems.
Now that we can solving radical equations, we can begin to explore how to apply the skill to solve problems. In this lesson, we will focus on how to solve pythagorean theorem problems. The pythagorean theorem can be applied only to right triangles (which are triangle that have an angle of exactly 90 degree) and it states that in any right triangle, if a and b are the lengths of the legs and c is they length of the hypotenuse, then a2 + b2 = c2. To clarify some vocabulary, the legs are the two sides adjacent to the right angle, and the hypotenuse is the side opposite of the right triangle. For further explanation of this theorem, and examples of how connect the pythagoream theorem with solving radical equations, watch the videos below.
Complete the worksheet attachment below and then check your answers using the solutions attachment. Once you have completed these exercises, click the link to advance to the next lesson.