8m - Wednesday 4/29 - Finding more side lengths

Master the Pythagorean Theorem! Solve for missing side lengths in right triangles with this practice worksheet.

Learning Targets:If I know the lengths of two sides, I can find the length of the third side in a right triangle.When I have a right triangle, I can identify which side is the hypotenuse and which sides are the legs. What are the components of a triangle who's sides can be found using the Pythagorean Theorem? Warm up: Back to basics #1 We've covered a lot in the last two weeks so lets do a quick refresh on some of the skills we need to complete today's work. √3 squared 3 Pythagorean Theorem a^2 + b^2 = c^2 Hypotenuse Longest side of a right triangle Right triangle A triangle where one of the angles has a measurement of 90 degrees Major key question 1: What is the only type of triangle that we can use the Pythagorean Theorem on? Send a video. Not a thousand words. Refresher for the Pythagorean Theorem Warm up part 2: #2 Use the video to get a reminder on how to solve for missing triangle side lengths, then try it on your own! Remember to express your answer either as the "the square root of 20" or as the decimal form to the nearest hundredth. Send a video. Not a thousand words. Challenge tips and tricks Solving Sprint #3 You will need a pencil and paper for this activity!Set a timer on your phone for 5 minutes. In that 5 minutes, solve as many of the missing side lengths as you can using the Pythagorean Theorem. Send a video. Not a thousand words. The easy way to find a line segment New Skill: The Easy Way #4 Use the grid lines to create a triangle around the given line and find its side length using the Pythagorean Theorem. Use the video if you get stuck and follow these steps below!1. Use the grid lines to draw a triangle with the given line2. find the lengths of the legs of the triangle3. Use the Pythagorean Theorem to solve for the hypotenuse Major Key Question 2: Why do we draw a right triangle around the line when we are trying to find its length? Practice Time:#5 What is the exact length of each line segment? Explain or show your reasoning. (Each grid square represents 1 square unit.) A. _B._C._ Send a video. Not a thousand words. Word problems with the Pythagorean Theorem #6 Pythagorean Theorem in word problems:Sometimes we will use the Pythagorean Theorem to solve real world problems. Watch the video on strategies for solving then try it on your own!Joel is mailing a large envelope to his cousin. The envelope has pictures inside, so he doesn't want to bend it.The mail slot has the dimensions shown. The dotted line shows the widest part of the slot.What is the maximum width of the mail slot? The maximum width of the mailbox is _ #7 Figuring out the distance Hawick is 15 kilometers south of Abbotsford, and Kelso is 17 kilometers east of Abbotsford.What is the distance from Hawick to Kelso? Mr. Dubinsky's Major Keys: 1. When you square √8 you get a value of 82. The hypotenuse is represented by 'c' in the Pythagorean Theorem3. To find the length of a diagonal line on a grid we draw a triangle around it and solve for the hypotenuse using the Pythagorean Theorem Exit Ticket: Tom is putting up a fence for his chickens on the farm in the shape of a right triangle. Two sides of the fence have a length of √12. What is the length of the longest side of the fence? IXL AND OFFICE HOURS Please remember to attend office hours today from 1:30-2:30 and to practice your math and English skills for 30 minutes in IXL. Have a great day!