Complete the sentence. 1. In a(n) triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. triple is a set of three positive integers, a, b, ' = a? + b?. 2. A(n) and c, that satisfy the equation c %3D 3. If the square of the length of the side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.
Complete the sentence. 1. In a(n) triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. triple is a set of three positive integers, a, b, ' = a? + b?. 2. A(n) and c, that satisfy the equation c %3D 3. If the square of the length of the side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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9.1 Puzzle Time
What Do You Get When You Cross A Computer
With A Lifeguard?
Write the letter of each answer in the box containing the exercise number.
Complete the sentence.
1. In a(n)
triangle, the square of the length of the
Answers
hypotenuse is equal to the sum of the squares of the lengths
of the legs.
V. 1
B. obtuse
S. acute
S. 2
2. A(n)
and c, that satisfy the equation c? = a? + b?.
triple is a set of three positive integers, a, b,
N. length
1. angle
3. If the square of the length of the
E. 101
H. special
side of a triangle
is equal to the sum of the squares of the lengths of the other
two sides, then the triangle is a right triangle.
R. right
K. null.
U. V101
A. 40
4. For any AABC, where c is the length of the longest side,
if c' < a' + b?, then AABC is
М. 113
E. 109
5. For any AABC, where c is the
if c? > a? + b², then AABC is obtuse.
of the longest side,
O. shortest
C. 28
C. 36
R. longest
Find the value of x.
A. Pythagorean
6.
a = 20, b = 99; Find x.
T. 98
E. 3
7. a = 60, b = 91; Find x.
Classify the triangle as (1) acute, (2) obtuse, or (3) right, based
on the given side lengths.
8. 20, 21, and 29
9. 15, 19, and 24
10. 11, 23, and 26
Find the indicated value.
11. a = x, b = 45, c = 53; Find x.
12. a = 9, b = x, c = 41; Find x.
4.
11
6
8
10
9
12
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