1. 10 Triangle problems: 3 Pythagorean, 2 classification, 2 triangle inequality, 3 solving for x. (1st semester)

2. 1)
If a triangle is formed with the given side lengths, which would be a right triangle?
5 in, 6 in, and 7 in
9 in, 12 in, and 15 in
25 in, 30 in, and 25 in
12 in, 18 in, and 30 in

3. 2)
The three squares below form a right triangle. What is the area of the shaded square?
3 cm
5 cm2
9 cm2
25 cm2
16 cm2
3 cm
4 cm
4 cm

4. 3)
The Zilker Park Christmas Tree is 155 ft. tall and is made of 39 strands of lights that are 189 ft long. How far from the base of the tree is each strand attached?
17 ft
88 ft
108 ft
244 ft
189 ft
155 ft
x ft

5. Classify the triangle by its angle measures and side lengths.4)
Classify the triangle by its angle measures and side lengths.
Right Isosceles
Right Scalene
Acute Isosceles
Acute Scalene
50 in
40 in
30 in

6. Classify the triangle by its angle measures and side lengths.5)
Classify the triangle by its angle measures and side lengths.
110o
Right Isosceles
Right Scalene
Obtuse Isosceles
Acute Isosceles

7. 6)
A triangular shaped patio has sides of 30 ft., 24 ft. and 20 ft. There is a rocking chair in the corner that has the smallest angle. Which corner has the rocking chair?
The corner opposite the side that is 30 ft.
The corner opposite the side that is 24 ft.
The corner opposite the side that is 20 ft.
The chair is in the middle of the patio.

8. 7)
Which of the following side lengths would make a triangle with the two given sides?
12 in.
7 in.
3 in.
4 in.
5 in.
6 in.

9. Find the measure of the missing angles.8)
Find the measure of the missing angles.
70o
a = 70o b = 110o
a = 70o b = 20o
a = 60o b = 30o
a = 60o b = 120o bo ao
50o

10. Find the value of x, which theorem explains why this is true?9)
Find the value of x, which theorem explains why this is true?
x = 6, vertical angle theorem
x = 4, vertical angle theorem
x = 6, supplementary angle theorem
x = 4, supplementary angle theorem

11. Find the side lengths of the triangle below.
10)
Find the side lengths of the triangle below.
2x + 4
4x - 2
10, 20 and 20
15, 15 and 20
10, 15 and 15
10, 10 and 24
40o
40o
4x + 12