10 Triangle problems: 3 Pythagorean, 2 classification, 2

triangle inequality, 3 solving for x. (1st semester)

If a triangle is formed with the given side lengths, which would be a right triangle?

A. 5 in, 6 in, and 7 in

B. 9 in, 12 in, and 15 in

C. 25 in, 30 in, and 25 in

D. 12 in, 18 in, and 30 in

1)

The three squares below form a right triangle. What is the area of the shaded square?

A. 5 cm2

B. 9 cm2

C. 25 cm2

D. 16 cm2

3 cm

3 cm

4 cm

4 cm

2)

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?

A. 17 ft

B. 88 ft

C. 108 ft

D. 244 ft

155 ft189 ft

x ft

3)

Classify the triangle by its angle measures and side lengths.

40 in

30 in

50 inA. Right Isosceles

B. Right Scalene

C. Acute Isosceles

D. Acute Scalene

4)

Classify the triangle by its angle measures and side lengths.

A. Right Isosceles

B. Right Scalene

C. Obtuse Isosceles

D. Acute Isosceles

110o

5)

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?

A. The corner opposite the side that is 30 ft.

B. The corner opposite the side that is 24 ft.

C. The corner opposite the side that is 20 ft.

D. The chair is in the middle of the patio.

6)

Which of the following side lengths would make a triangle with the two given sides?

A. 3 in.

B. 4 in.

C. 5 in.

D. 6 in.

12 in. 7 in.

7)

Find the measure of the missing angles.

50o

70o

aoboA. a = 70o b = 110o

B. a = 70o b = 20o

C. a = 60o b = 30o

D. a = 60o b = 120o

8)

Find the value of x, which theorem explains why this is true?

A. x = 6, vertical angle theorem

B. x = 4, vertical angle theorem

C. x = 6, supplementary angle theorem

D. x = 4, supplementary angle theorem

9)

Find the side lengths of the triangle below.

A. 10, 20 and 20

B. 15, 15 and 20

C. 10, 15 and 15

D. 10, 10 and 24

40o40o

4x - 2 2x + 4

4x + 12

10)