Name: ___________________________________________
5.5 HW Worksheet
Date: ____________________________
Geometry Advanced
Write the measurements of the triangle in order from least to greatest.
1.
2.
3. In ΔABC, m  A = 5x + 2, m  B = 6x – 10
and m  C = x + 20.
4. In ΔKLM the side lengths are: KL = x – 4,
LM = x + 4, KM = 2x – 1 and the perimeter is
27.
Two sides of a triangle are given. Describe the possible lengths of the third side using an inequality.
5. 2 cm and 5 cm
6. 7 in and 12 in
7. 4 ft. and 10 ft.
List the side lengths in order from shortest to longest.
8.
9.
7
1
inches, and 2 inches and angle measure are m  A = 90°,
8
8
m  B =28°, and m  C = 62°. Determine which side lengths correspond to sides AB , AC , and BC ?
10. ΔABC has side lengths of 1 inch, 1
11. Which of the following lengths could be the side lengths of a triangle? Check all that apply.
 A. 3 in., 3 in., 8 in.
 B. 6 in., 6 in., 12 in.
 C. 9 in., 5 in., 11 in.
 D. 15 in., 20 in., 11 in.
You are given an 18 inch piece of wire. You want to bend the wire to form a triangle so that the length
of each side is a whole number.
12. Sketch 2 possible isosceles triangles and label each side length.
13. List one combination of segment lengths that will not produce triangles.
Answers
1.
, ,
∠ , ∠ , ∠
2.
,
,
∠ , ∠ , ∠
3. = 14, ∠ , ∠ , ∠
, ,
4. = 7, ,
,
,
∠ ,
5. 3 < < 7
6. 5 < < 19
7. 6 < < 14
8.
, ,
9.
, ,
, ,
10.
= 1 .,
=1
.,
=2
.
12. Answers will vary.
13. Answers will vary.
∠ , ∠
,
,
11. C, D