[b]Work through the lesson by reading the notes, examples, and answering the questions. [br][/b][i]Scroll down when you are ready to move on to the next section. [br]You will see an stop sign image at the bottom when you have reached the end of the lesson.[/i]
[size=100][size=150]There is a method we can use called the distance formula to find the distance between two points. [br]BUT - we can also use the Pythagorean Theorem!! [br][br][b]This lesson will focus on using the Pythagorean Theorem in a coordinate grid.[/b][/size][/size]
1. Draw a right triangle making the line between the two[br] points the hypotenuse (c).[br] 2. Find the length of the legs you just drew (a) and (b). [br] 3. With all those values we now have a right triangle and[br] can use the Pythagorean Theorem as follows:[br][math]a^2+b^2=c^2[br][/math][br][math]3^2+4^2=c^2[/math] We will use 3 for a (the bottom leg is 3 units), and 4 for b (the right leg is 4 units)[br][math]9+16=c^2[/math][br][math]25=c^2[/math][br][math]\sqrt{25}=\sqrt{c^2}[/math][br][math]5=c[/math] [b] The distance between the points (2,2) and (5,6) is 5 units. [br][/b][br][br]
What is the distance between points (1,2) and (13,7)? [br][br]type your answer below - don't forget "units" for your label :)
What is the distance between points (1,1) and (8,5)? [br][br]type your answer below - [b][i]round to the nearest hundredth[/i][/b]
What is the distance between points (1,3) and (16,11)? [br][br]Select the correct answer below
What is the distance between points (2,-2) and (8,4)?[br][br]Select the correct answer below - [b][i]round to the nearest hundredth[/i][/b]
What is the distance between points (-3,1) and (6,4)?[br][br]Select the correct answer below - [b][i]round to the nearest hundredth[/i][/b]