Real Numbers And The Pythagorean Theorem Worksheet - Chapter 7 Page 42
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46Classify the real number.
—
—
—
√
√
15. 0.81
16.
17.
5
101
4
Estimate the square root to the nearest (a) integer and (b) tenth.
—
—
—
√
√
√
18.
14
19.
90
20.
175
Write the decimal as a fraction.
—
—
—
23. − 1.
21. 0.
8
22. 0.
36
6
7.5
7.5
Using the Pythagorean Theorem
(pp. 318 – 323)
a. Is the triangle formed by the rope and the tent a right triangle?
2
+ b
2
= c
2
a
?
2
+ 48
2
=
2
64
80
?
4096 + 2304 =
6400
64 in.
80 in.
✓
6400 = 6400
It is a right triangle.
48 in.
b. Find the distance between (−3, 1) and (4, 7).
) = (− 3, 1) and (x
) = (4, 7).
Let (x
, y
, y
1
1
2
2
——
√
d =
− x
2
+ ( y
− y
2
(x
)
)
Write the distance formula.
2
1
2
1
——
√
=
[4 − (− 3)]
2
+ (7 − 1)
2
Substitute.
—
√
=
2
+ 6
2
7
Simplify.
—
√
=
49 + 36
Evaluate powers.
—
√
=
85
Add.
Tell whether the triangle is a right triangle.
24.
25.
Kerrtown
98 mi
Snellville
61 ft
11 ft
104 mi
60 ft
40 mi
Nicholton
Find the distance between the two points.
26. (− 2, − 5), (3, 5)
27. (− 4, 7), (4, 0)
Chapter Review
327
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