8m - Monday 5/4 - Conversing about the converse

Master the Pythagorean Theorem! Grade 8 math worksheet with practice problems.

Learning Target:If I know the side lengths of a triangle, I can determine if it is a right triangle or not. Define the following...Pythagorean Theorem:Right triangle: Send a video. Not a thousand words. Watch for a quick reminder on how to test if a triangle is a right triangle! Warm Up:#1 How can we determine that this triangle is a right triangle? We know that this is a right triangle because if we input the side lengths into the Pythagorean Theorem we will see that a^2 + b^2 = c^2. Major key question 1: How do we know which side length is the hypotenuse? What two things can we check for to make sure it is the hypotenuse? Pythagoras who?#2 Select the triangle we could apply the Pythagorean Theorem to and find any missing side lengths: Triangle A Triangle B Triangle C Triangle D Send a video. Not a thousand words. Determining a right triangle part 2 Warm Up Part 2: Making assumptions #3 Using our knowledge of right triangles, what do we know is the measurement of z? Which one has a length greater than z? Which one is less? Practice Time: Is it right or is it wrong? #4 Use the Pythagorean Theorem to determine if the triangle is a right triangle or not. If you get stuck use the video above! Triangle Right triangle? (Yes or no) A B C D E Send a video. Not a thousand words. Word problems with the Pythagorean Theorem Solving more word problems with Pythagorean Theorem:#5 The bottom of a ladder must be placed 3 feet from a wall. The ladder is 10 feet long. How far above the ground does the ladder touch the wall?Using the video determine which side length is a, b, or c and find the missing side length. Get out a pen and paper or use the notes app to help draw the image! Side length a = _Side length b= _Side length c= _ #6 A soccer field is a rectangle 100 meters wide and 130 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance?Using the video determine which side length is a, b, or c and find the missing side length. Get out a pen and paper or use the notes app to help draw the image! Side length a = _Side length b= _Side length c= _ Send a video. Not a thousand words. Making our own triangle New Skill: Build your own We have seen several examples where two side lengths are given in order to finish building a triangle but some problems will give us only the hypotenuse and ask us to fill in the rest. Using the Pythagorean Theorem and the video above. Come up with two side lengths that could be used to complete this triangle.Write your answer in complete sentences. Mr. Dubinsky's Major Keys: Major Key Alert 1. The hypotenuse is the longest side length across from the right angle in a right triangle.2. The legs of a right triangle are the sides that connect to make the right angle.3. When solving a word problem with the Pythagorean Theorem it helps to draw an image of the problem. Exit Ticket: Determine two side lengths that could be used to complete this triangle. IXL and Office Hours:Make sure you complete 30 minutes of math and English on IXL today and attend my office hours from 1:30-2:30 if you have any questions.Great work today and see you tomorrow!