put these steps in order to find the distance between the points (-2, 1) and (4, 3)
step 1 ____
step 2 ____
step 3 ____
step 4 ____
step 5 ____
step 6 ____
step 7 ____
options:
Use the Pythagorean Theorem for right triangles to determine the diagonal length: 2^2+6^2=c^2
40=c^2
draw a right trangle by dropping a vertical side and a horiztional side
√40=√c^2
√40 is between √36 and √49, so between 6 and 7 - closer to 6, so about 6.3 units
Determine the vertical side (2 units) and horizontal side (6 units) lengths by counting on the grid (be careful of the scale), or using the vertical coordinates (3 to 1) and horizontal coordinates (-2 to 4).
4+36=c^2
Step 1: Determine the vertical side (2 units) and horizontal side (6 units) lengths by counting on the grid (be careful of the scale), or using the vertical coordinates (3 to 1) and horizontal coordinates (-2 to 4).
Step 2: Draw a right triangle by dropping a vertical side and a horizontal side.
Step 3: Use the Pythagorean Theorem for right triangles to determine the diagonal length: 2^2+6^2=c^2.
Step 4: 4+36=c^2.
Step 5: 40=c^2.
Step 6: √40=√c^2.
Step 7: √40 is between √36 and √49, so between 6 and 7 - closer to 6, so about 6.3 units.