Pythagorean Theorem, Isosceles Right Triangles, Trigonometric Ratios Worksheet Page 8

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NAME___________________________________DATE_________________PER.________
Pythagorean Theorem Converse and Inequalities Assignment
Determine if a triangle can be formed with the given lengths. If so, classify the triangle by angles.
1. 7, 20, and 12
YES
or
NO
Classify:
2. 15, 8, and 17
YES
or
NO
Classify:
3. 12, 10, and 8
YES
or
NO
Classify:
4. 20, 8, and 19
YES
or
NO
Classify:
5. 16, 30, 34
YES
or
NO
Classify:
6. 80, 71, and 5
YES
or
NO
Classify:
Find the indicated length.
7.
6
8. A rectangle has a diagonal of 2 and
3
3
a length of
. Find its width.
6
x
9. Find the length of a diagonal of a
10. If you had a 20 ft ladder, how far away
square with perimeter 16.
from a building would you have to place the
bottom to reach a window 15 feet up?
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