1.
Which equation represents the Pythagorean Theorem?
A.
a
2
+
c
2
=
b
2
B.
(
a
+
b
)
2
=
c
2
C.
c
2
=
a
2
+
b
2
D.
a
2
=
b
2
+
c
2
Hint
2.
Find the length of the hypotenuse in the triangle below. Round to the nearest tenth.
A.
15 cm
B.
7.9 cm
C.
17.3 cm
D.
21 cm
Hint
3.
Determine the length of a diagonal of the rectangle below.
A.
17.5 ft
B.
7.1 ft
C.
12.6 ft
D.
10.5 ft
Hint
4.
A 25-foot ladder is positioned against a building so that the base of the ladder is 7 feet from the building. How high does the ladder reach?
A.
24 feet
B.
25 feet
C.
19 feet
D.
8 feet
Hint
5.
The measures of three sides of a triangle are 12 meters, 16 meters, and 20 meters. Determine whether the triangle is a right triangle. Explain.
A.
No, because this triangle is scalene.
B.
No, because the converse of the Pythagorean Theorem is false.
C.
Yes, the converse of the Pythagorean Theorem is true.
D.
It is not possible to determine if the triangle is a right triangle.
Hint