1.
Which equation represents the Pythagorean Theorem?
A.
a
2
=
b
2
+
c
2
B.
c
2
=
a
2
+
b
2
C.
a
2
+
c
2
=
b
2
D.
(
a
+
b
)
2
=
c
2
Hint
2.
Determine the length of a diagonal of the rectangle below.
A.
7.1 ft
B.
10.5 ft
C.
12.6 ft
D.
17.5 ft
Hint
3.
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.
25 feet
B.
24 feet
C.
19 feet
D.
8 feet
Hint
4.
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.
Yes, the converse of the Pythagorean Theorem is true.
B.
It is not possible to determine if the triangle is a right triangle.
C.
No, because this triangle is scalene.
D.
No, because the converse of the Pythagorean Theorem is false.
Hint
5.
If hypotenuse
c
is 29 centimeters and leg
b
is 16 centimeters, how long is leg
a
? Round to the nearest tenth.
A.
33.1 cm
B.
24.2 cm
C.
9.5 cm
D.
28.7 cm
Hint