Triangle Inequality Theorem
Can side lengths 3, 5, and 10 make a triangle?
No, the sides wouldn’t connect because 3 plus 5 is less than 10
What would the exterior angle measure be if the two interior angles not adjacent to the exterior angle were 80 and 60 degrees?
140 degrees
What is the area of a triangle with a base of 4 and a height of 7
14
In triangle ABC, point D is the midpoint of side BC. If the coordinates of B and C are B(2,3) and C(6,7), what are the coordinates of point D?
(4,5)
What is a triangle altitude?
the perpendicular line segment drawn from the vertex of the triangle to the side opposite of it.
Can side lengths of 2, 7, and 9 make a triangle?
No, it would be a straight line because 2 plus 7 is equal to 9.
What would the exterior angle measure be if the two interior angles not adjacent to the exterior angle were 30 and 90 degrees?
120 degrees
What is the area of a triangle if the base is 10 and the height is 20
100
In triangle ABC, the medians intersect at point G, the centroid. If the coordinates of A, B, and C are A(0,0), B(6,0), and C(3,6), find the coordinates of the centroid.
(3,2)
What is an angle bisector?
a line, ray, or segment that divides an angle into two equal angles.
Can side lengths of 6, 8, and 12 make a triangle?
Yes, 6 plus 8 is greater than 12
What would the non-adjacent opposite interior angle be if the exterior angle was 110 and the other angle was 50
60
What is the area of a triangle with vertices of (0,0), (0,3), (4,0)
6
In triangle ABC, point D is the midpoint of side BC. If AD is drawn, what is the name of the segment AD
Median
What is a centroid?
The point where all three medians of a triangle intersect.
If there are side lengths 4 and 9, what could the range of possibilities be for the third side to make a triangle?
Greater than 5 but less than 13.
What would the non-adjacent opposite interior angle be if the exterior angle was 127 and the other angle was 59
68
What is the area of a triangle with vertices (1,2), (5,2), (3,7)
10
In triangle ABC, the coordinates of A, B, and C are A(2,3), B(4,7), and C(6,1). Find the length of the median from vertex A to side BC.
Sqrt 10
What is the exterior angle theorem?
an exterior angle measure of a triangle is equal to the sum of the other two interior angles of the triangle that are not adjacent to the exterior angle
If there are side lengths 10 and 20, what could the range of possibilities be for the third side to make a triangle?
Greater than 10 but less than 30.
What would the exterior angle measure be if the two interior angles not adjacent to the exterior angle were 36 and 15?
51
What is the area of a triangle with vertices of (-2,1), (4,1), (1,-3)
12
In triangle XYZ, medians from each vertex intersect at point G. If the length of the median from X to side YZ is 9 cm, what is the length of the segment from X to G?
6 cm
What is the triangle inequality theorem?
The sum of the lengths of any two sides of a triangle is greater than the length of the third side