Triangles and Their Side Lengths Answers

0 verified answers
1
Free Preview

Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be

A
less than 90°.
B
greater than 90°.
C
congruent to angle B.
D
congruent to angle C.
2
Free Preview

In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?

A
m∠X + m∠Z < 90°
B
m∠Y > 90°
C
∠X and∠Y are complementary
D
m∠X + m∠Y < 90°
3

Triangle QRS is a right triangle with the right angle at vertex R. The sum of m∠Q and m∠S must be

A
equal to 45°.
B
greater than 45° and less than 90°.
C
equal to 90°.
D
greater than 90° and less than 180°.
4

Which are the possible side lengths of a triangle?

A
3 cm, 5 cm, 9 cm
B
4 cm, 8 cm, 10 cm
C
6 cm, 9 cm, 17 cm
D
8 cm, 10 cm, 18 cm
5

A triangle has side lengths measuring 3x cm, 7x cm, and h cm. Which expression describes the possible values of h, in cm?

A
4x < h < 10x
B
10x < h < 4x
C
h = 4x
D
h = 10x
6

Triangle A B C is shown. Side A B has a length of 12. Side B C has a length of x. Side A C has a length of 15.

Question illustration
A
0
B
1
C
3
D
7
7

Fiona's school is in the shape of a triangle, with three hallways connecting the corners. Fiona enters the building and walks 90 yards through the first hallway to the first corner. Then, she walks 60 yards through the second hallway to the second corner.

Question illustration
A
between 30 yards and 60 yards
B
between 30 yards and 90 yards
C
between 30 yards and 120 yards
D
between 30 yards and 150 yards
8

Triangle QRS has the angle measures shown.

Question illustration
A
18
B
54
C
108
D
216
9

Steven is cutting an 11 ft piece of lumber into three pieces to build a triangular garden. Which diagram shows a way in which he can cut the wood to create three pieces that can form a triangle?

A
A piece of wood is cut into 3 pieces. The pieces are: 2 feet, 2 feet, and 7 feet.
Option A
B
A piece of wood is cut into 3 pieces. The pieces are: 1 foot, 4 feet, 6 feet.
Option B
C
A piece of wood is cut into 3 pieces. The pieces are: 3 feet, 2 feet, and 6 feet.
Option C
D
A piece of wood is cut into 3 pieces. The pieces are: 3 feet, 4 feet, 4 feet.
Option D
10

If triangle DEF has a 90° angle at vertex E, which statements are true? Select two options.

A
Triangle DEF is an obtuse triangle.
B
The angle at vertex D is acute.
C
The angle at vertex F is obtuse.
D
Triangle DEF is a right triangle.
E
The angle at vertex D is obtuse.

Did you find these answers helpful?