Download Pages from ngrb-0701

Geometry
Pythagorean Theorem Problem Set
Name
Find the unknown side length. Simplify answers that are radicals.
2.
1.
3.
4.
The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers
and together form a Pythagorean triple. Find the length of the third side and tell whether it is a leg or
the hypotenuse.
5. 40 and 41
6. 20 and 29
Find the area of a right triangle with given leg l and hypotenuse h. Round decimal answers to the
nearest tenth.
7. l = 8 m, h = 16 m
8. l= 3.5 ft, h = 9 ft
Decide whether the numbers can represent the side lengths of a triangle. If they can, classify the
triangle as right, acute, or obtuse.
9. 5, 12, 13
10. 8, 4, 6
11. 15, 36. 39
Find the area of the figure. Round decimal answers to the nearest tenth.
12.
13.
14.
15.
16. Garden You have a garden that is in the shape of a right triangle with the dimensions shown. Find the
perimeter of the garden.
17. Ladder A 20 foot ladder is resting against the side of a house. The base of the ladder is 4 feet away from
the house. Approximately how high above the ground does the ladder touch the house?
18. Graph points A, B, and C. Connect the points to form ∆ABC. Decide whether ∆ABC is right, acute,
or obtuse.
A(8, 4), B(5, 2), C(1, 7)