T
(-2, 1)
2.
(4,3)
0
N
4
х
Step 1
Step 2
Step 3
Step 4
Step 5
Step 6
Step 7
::
Use the Pythagorean Theorem for right triangles to
determine the diagonal length: 22 +6² = c²
:: 40 = c²
::
Draw a right triangle by dropping a vertical side and a
horizontal side.
:: √√40
=
::
40 is between √36 and 149, 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= c²
pa
From the given coordinates (-2, 1) and (4, 3), the vertical side length is 2 units and the horizontal side length is 6 units.
Using the Pythagorean Theorem, we find that the diagonal length is approximately 6.3 units.