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Name: ___________________________________________
5.5, 9.2 – 9.4 Review ~ NO CALCULATOR
Date: ____________________________
Geometry Advanced
In #s 1 – 3, give the measurements (sides & angles) of the triangles in order from least to greatest.
2. Perimeter of ΔABC is 49
1.
3.
4. If two sides of a triangle are 10 cm and 7 cm,
list the possible lengths of the 3rd side as an
inequality.
5. List the sides from shortest to longest.
(NOTE: The diagram is not drawn to scale)
Decide whether the numbers can represent the side lengths of a triangle. If they can, classify the
triangle as right, acute, or obtuse.
6.
1 1
, ,1
2 3
7. 4, 7, 10
8. 5,
5,3
Find the unknown side length. Use a reduced triangle when possible. Answers must be exact values.
9.
10.
11.
Find the exact perimeter of the figure.
12.
13. A ladder is leaning against a tree so that a
fireman can rescue a cat that is on a branch 12
feet off the ground. If the base of the ladder is
10 feet from the tree how long is the ladder?
Use special triangles to find the value of the variables.
All answers should be in simplified radical form.
14.
15.
17. ΔABC is equilateral
19.
16.
18. ABCD is a square
x = _____
x = _____
y = _____
y = _____
z = _____
z = _____
w = _____
w = _____
x = _____
y = _____
z = _____
20. Find the perimeter