Given 3 Sides
Given 3 Angles
Finding Angle Measures
Finding Side Lengths
Types of Triangles
100
Is it possible to create a triangle given these three side lengths: 2, 4, and 8 units?
NO!
2 + 4 > 8
6 > 8 FALSE
100
Is it possible to create a triangle given these three ANGLE measures: 90, 45, and 45 degrees?
YES!
90 + 45 + 45 = 180
100
The little box in the corner of a triangle or any figure represents how many degrees?
90 degrees
100
Given lengths 3 in and 5 in, what is the range of values for the third side of a triangle? Write your answer as a compound inequality.
2 < x < 8
100
Triangles that have all sides equal
What are equilateral triangles?
200
Is it possible to create a triangle given these three side lengths: 24, 11, and 14 units?
Yes!
14 + 11 > 24
25 > 24 TRUE
200
Is it possible to create a triangle given these three ANGLE measures: 50, 60, 80 degrees?
NO!
50 + 60 + 80 = 190
200
Two interior angle measures of a triangle are 74 degrees and 53 degrees. What is the measure of the third interior angle?
53 degrees
200
Given lengths 3357 in and 5499 in, what is the range of values for the third side of a triangle? Write your answer as a compound inequality.
2142 < x < 8856
200
Triangles that have no equal sides
What are scalene triangles?
300
Is it possible to create a triangle given these three side lengths: 12.3, 4.9, and 7.3 units?
NO!
4.9 + 7.3 > 12.3
12.2 > 12.3 False!
300
Is it possible to create a triangle given these three ANGLE measures: 47, 29, and 115 degrees?
NO!
47 + 29 + 115 = 191
300
Find the measure of angle y.
62 degrees
300
Given lengths 45 in and 20.19 in, what is the range of values for the third side of a triangle? Write your answer as a compound inequality.
24.81 < x < 65.19
300
Triangles that have two equal sides
What are isosceles triangles?
400
Is it possible to create a triangle given these three side lengths: 100.4, 221.09, and 98.5?
NO!
100.4 + 98.5 > 221.09
198.9 > 221.09 False
400
Is it possible to create a triangle given these three ANGLE measures: 87.2, 23.04 and 56.3 degrees?
NO!
87.2 + 23.04 + 56.3 = 166.54
400
Can a triangle have these interior angle measures? Why or why not? 36.9 degrees, 110.4 degrees, and 33.7 degrees
No, they do not have a sum of 180 degrees
400
Given lengths 3.846 in and 5.23 in, what is the range of values for the third side of a triangle? Write your answer as a compound inequality.
1.384 < x < 9.076
400
Triangles that have three angles less than 90 degrees
What are acute triangles?
500
Is it possible to create a triangle given these three side lengths: 11.001, 20.02, and 9.03?
YES!
11.001 + 9.03 > 20.02
20.031 > 20.02 True
500
Is it possible to create a triangle given these three ANGLE measures: 101.01, 23.864, and 55.126 degrees?
YES!
101.01 + 23.864 + 55.126 = 180
500
The interior angles of a triangle are (x) degrees, (x + 70) degrees and 28 degrees. Find the value of x.
x = 41
500
Given lengths 1/2 in and 3/4 in, what is the range of values for the third side of a triangle? Write your answer as a compound inequality.
1/4 < x < 1 1/4
500
Triangles that have one angle greater than 90 degrees
What are obtuse triangles?
600
Is it possible to create a triangle given these three side lengths: 2.57, 4.12, and 6.67?
NO!
2.57 + 4.12 > 6.67
6.62 > 6.67 False
600
Is it possible to create a triangle given these three ANGLE measures: 43, 58.001, and 78.999 degrees?
YES!
43 + 58.001 + 78.999 = 180
600
The interior angles of a triangle are labeled 36, x and 2x. What is the measure of the two unknown ANGLES? Hint, solving for x is not the final answer!
x = 48, So the interior angles are 36, 48, and 96 degrees.
600
Given lengths 3/8 yards and 5/6 yards, what is the range of values for the third side of a triangle? Write your answer as a compound inequality.
11/24 < x < 1 5/24
600
Triangles that have one 90 degree angle?
What are right triangles?