Pythagorean Theorem Part 2
![Picture](/uploads/1/7/8/4/17840671/pythath.gif?333)
Remember when using the PT, c is the longest side of the right triangle (hypotenuse). c is always opposite of the 90 degree angle.
a and b are the other two sides of the right triangle, the legs.
Together they form the 90 degree angle.
Learning Objectives for Lesson 2:
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Goals for Lesson 2:
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Yesterday in class we solved problems for the hypotenuse of a right triangle. What could we do if we didn't know one of our legs but knew the other leg and the hypotenuse? Could we find the length of the leg? YES!
Simply plug in the other two values into our equation and solve for the unknown variable. Please start the video below at two minutes and jot down some notes as you watch. This will be helpful tomorrow when we solve word problems for a leg.
Simply plug in the other two values into our equation and solve for the unknown variable. Please start the video below at two minutes and jot down some notes as you watch. This will be helpful tomorrow when we solve word problems for a leg.
Classifying Triangles
![Picture](/uploads/1/7/8/4/17840671/acute.jpg?304)
Besides using the Pythagorean Theorem to solve for a side of a right triangle, we can use it to classify ANY triangle. All you need is the length of all three sides.
1. Identify the longest side and plug that into the Pythagorean Theorem for c.
2. Substitute your other two side lengths for a and b.
3. Classify the triangle:
-If c squared is LARGER than a squared plus b squared, you have an OBTUSE triangle.
-If c squared is SMALLER than a squared plus b squared, you have an ACUTE triangle.
-If c squared EQUALS a squared plus b squared, you have a RIGHT triangle.
1. Identify the longest side and plug that into the Pythagorean Theorem for c.
2. Substitute your other two side lengths for a and b.
3. Classify the triangle:
-If c squared is LARGER than a squared plus b squared, you have an OBTUSE triangle.
-If c squared is SMALLER than a squared plus b squared, you have an ACUTE triangle.
-If c squared EQUALS a squared plus b squared, you have a RIGHT triangle.
Time for some Word Problems!
![Picture](/uploads/1/7/8/4/17840671/word-prob.png?265)
1. Do not be scared of word problems, you can do this! Some tips to remember in solving word problems:
2. Read the problem carefully and completely.
3. Highlight important information in the problem. (number values)
4. Draw a picture!
5. Label your picture. Make sure you label the legs and hypotenuse appropriately.
6. Plug the numbers into the equation for the Pythagorean Theorem and solve.
2. Read the problem carefully and completely.
3. Highlight important information in the problem. (number values)
4. Draw a picture!
5. Label your picture. Make sure you label the legs and hypotenuse appropriately.
6. Plug the numbers into the equation for the Pythagorean Theorem and solve.
We will be solving lots of word problems in class tomorrow, but before that let's get some practice writing our own. Take some time to brainstorm ideas in your notebook and come up with two original word problems that use right triangles and the Pythagorean Theorem. You can solve for a leg or hypotenuse. Draw a picture and solve both.
![Picture](/uploads/1/7/8/4/17840671/1ee1i1.jpg?297)
Homework:
Time to collaborate! Please remember what time you set to meet with your assigned partner from class today. One of you needs to create a Google Doc for collaboration on this assignment. Please title it: Last Name & Last Name Word Problems and share it with me. Both add your word problems from above (just the question) to the Google Doc and then solve the others two problems in your notebook.
If you have any confusion or questions please note them on the Google Doc. Keep our communication policy in mind when responding to your partner and note when you are finished at the bottom of the document. Your Google Doc and work that you turn in tomorrow will be graded. I will give some time for you to meet with your partner in class to check your answers. Please see the example below and email me if you have any questions.
Time to collaborate! Please remember what time you set to meet with your assigned partner from class today. One of you needs to create a Google Doc for collaboration on this assignment. Please title it: Last Name & Last Name Word Problems and share it with me. Both add your word problems from above (just the question) to the Google Doc and then solve the others two problems in your notebook.
If you have any confusion or questions please note them on the Google Doc. Keep our communication policy in mind when responding to your partner and note when you are finished at the bottom of the document. Your Google Doc and work that you turn in tomorrow will be graded. I will give some time for you to meet with your partner in class to check your answers. Please see the example below and email me if you have any questions.
Checklist for Lesson 2:
Before coming to class tomorrow make sure you have completed the following:
Before coming to class tomorrow make sure you have completed the following:
- Taken notes while watching the video examples solving for the leg of a right triangle
- Read the classifying triangles information and solved the three problems in your notebook
- Read the word problem tips and viewed the partner assignment example
- Completed the word problem collaboration activity with your partner
- Be prepared to solve problems for a leg or hypotenuse and classify triangles using the Pythagorean Theorem (wink- wink 😉)
Free Math Videos. (2014, June 18). Tutorial - How to classify a triangle using the Pythagorean Inequality Theorem ex 2 [Video File]. Retrieved from https://youtu.be/FozScaJl9mo.
Sant, R. (2011, June 10). How do you find a leg? [Video File]. Retrieved from https://youtu.be/tgThKny_KJM.
Sant, R. (2011, June 10). How do you find a leg? [Video File]. Retrieved from https://youtu.be/tgThKny_KJM.