To be or not to be...a triangle.
Sides
Angles
Unique, Many or None?
What am I?
100
Can you form this triangle? Why or why not?
A triangle with angles:
70 degrees, 65 degrees, 60 degrees
No, the sum of the angles is 195 degrees instead of 180 degrees.
100
If a triangle has all side lengths measuring whole numbers, what is the largest possible length for the missing side?
2 inches, 8 inches, __________
9 inches
100
What is the measure of the missing angle?
_________ degrees, 32 degrees, 58 degrees
90 degrees
100
Given sides of 5 cm, 6 cm, 8 cm
Unique triangle, multiple triangles or no triangle? Why?
Unique triangle, SSS
100
I am a triangle with a 90 degree angle and a 36 degree angle.
What is Right Scalene?
200
Can you form this triangle? Why or why not?
A triangle with sides:
5.5 ft, 11.8 ft, 13.2 ft
YES, because 5.5 + 11.8 > 13.2
200
If a triangle has all side lengths that measure whole numbers, what is the smallest length of the missing side?
_______ inches, 7 inches, 15 inches
9 inches
200
What is the measure of the smallest angle of a right triangle with a 60 degree angle?
30 degrees
200
Given angles of 30 degrees, 45 degrees and 105 degrees
Unique triangle, multiple triangles or no triangle? Why?
Multiple triangles, AAA
200
I am a triangle with two congruent sides and two 36 degree angles.
Obtuse Isosceles
300
Can you form this triangle? Why or why not?
A triangle with angles:
40 degrees, 50 degrees, 90 degrees
Yes, because 40 + 50 + 90 = 180 degrees.
300
Write an inequality for the range of the possible lengths of the third side?
_________ cm, 6.8 cm, 8.6 cm
1.8 < x < 15.4
300
What is the measure of angle t?
55 degrees
300
Given sides of 6 cm and 5 cm that form a 55 degree angle
Unique triangle, multiple triangles or no triangle? Why?
Unique triangle, SAS
300
I am a triangle with a 104 degree angle and 3 different length sides.
Obtuse Scalene
400
Can you form this triangle? Why or why not?
A triangles with sides:
10 INCHES, 1 INCH, 12 INCHES
No, because 10 + 1 < 12
400
What is the range of the third side of a triangle? Write your answer as an inequality.
_________ inches, 11.8 inches, 3.8 inches
8 < x < 15.6
400
What is the value of b?
b = 45
400
Given sides 7 cm, 10 cm and 17 cm
Unique triangle, multiple triangles or no triangle? Why?
No triangle, Triangle Inequality Theorem
7 + 10 = 17
400
I am a triangle with 60 degree angles.
Equilateral or Equiangular
500
Can you form this triangle? Why or why not?
A triangle with sides:
2 ft, 4 ft, 6 ft
NO, because 2 + 4 = 6
500
What is the range of the length of the third side? Write your answer as an inequality.
_______ ft, 12.5 ft, 12.5 ft
0 < x < 25
500
What is the measure of angle VUX?
156 degrees
500
Given two 45 degree angles with a 5 cm side included between them.
Unique triangle, multiple triangles or no triangle? Why?
Unique triangle, ASA
500
I am a triangle with a right angle and two congruent sides.
Right Isosceles