Algebra 8 - Pythagorean Theorem with the Coordinate Grid

ALGEBRA 8: Pythagorean Theorem HW
Round answers to the nearest tenth.
1. A right triangle in the coordinate plane
has vertices at (0,6), (8,0), and (0,0). What
is the length of the hypotenuse? (Graph
triangle on a separate sheet of graph paper.)
2. What is the length of BC?
Thurs, Jan 17, 2013
5. The vertices of isosceles triangle ABC are
given below.
A −8, 0 B 0, −8 C (8, 8)
Plot the triangle. Then find the length of
AC to the nearest tenth. (Graph triangle
on a separate sheet of graph paper.)
6. What is the length of the diagonal of a
coordinate plane with x-­‐ and y-­‐axes
labeled from −10 to 10? (Graph the
diagonal on a separate sheet of graph
paper.)
7. What is the measure of CD?
3. What is the length of a line segment with
endpoints of (−4, 2) and (−1, −2)?
4. What is the distance from R’ to T’?
8. A line segment from the origin of the
coordinate plane to (5, −5) represents
the hypotenuse of the right triangle.
What is the length of the hypotenuse?
(Graph the line segment on a separate
sheet of graph paper.)
9. A right triangle has a hypotenuse of
length 5 meters and one leg of length 2
meters. Find the length of the other leg.

10. The vertices of rectangle WXYZ are
given below.
W −3, 4 X 3, 4 Y 3, −1 Z(−3, −1)
Plot the rectangle on a coordinate
plane. Then use the Pythagorean
Theorem to find the length of XZ to the
nearest tenth.
11. A right triangle in the coordinate plane
has vertices at
−3, 1 , −3, −3 , and (4, −3). To the
nearest tenth, what is the length of the
hypotenuse? ? (Graph triangle on a
separate sheet of graph paper.)
15. The recommended angle for a
firefighting ladder is 75°. When a
110-­‐foot ladder is put up against a
building at this angle, the base of the
ladder is about 28 feet from the
building. The base of the ladder is
8 feet above the ground. How high on
the building will the ladder reach?
Round you answer to the nearest tenth.
12. Vidal drove due south 146 miles from
Lexington to Knoxville. He then turned
due west and drove 159 miles to
Nashville. About how far is the straight-­‐
line distance from Lexington to
Nashville?
13. Vertices of a rectangle are shown below.
J −4, 2 K −2, 4 L 2, 0 M (0, −2).
Using the Pythagorean Theorem find
the diagonal of the rectangle.
14. Tyler is designing a loft bed with a
diagonal support, as shown below.
What is the length of the diagonal
support, to the nearest tenth of a foot?