To find the distance between the two points (7,-7) and (9,-9), we first need to find the lengths of the two sides of the triangle that form the hypotenuse.
The length of the side opposite the y-axis (up and down) is 9 - (-7) = 16 units.
The length of the side opposite the x-axis (left and right) is 9 - 7 = 2 units.
Now, we can use the Pythagorean Theorem to find the length of the hypotenuse:
c^2 = a^2 + b^2
c^2 = 16^2 + 2^2
c^2 = 256 + 4
c^2 = 260
c = sqrt(260)
c ≈ 16.12
The distance between the two points is approximately 16.1 units.
The graph of the right triangle with the points (7,-7) and (9,-9) forming the hypotenuse would look like this:
P2 (9, -9)
*
| \
| \
16 units| \ 2 units
| \
| *
P1 (7, -7)
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary). (7,-7) and (9,-9)
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