Unit 2 Lesson 6 Sides of a triangle Flashcards
What is a polygon
a closed figure made up of line segments in a two-dimensional plane
What is a triangle
a polygon having three sides
What is a Triangle inequality Theorem?
the theorem stating that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
How many sides does a plygon have to have?
They have at least three sides and are formed by straight line segments that meet to form corners called vertices (the plural of vertex).
What is a equilateral triangle?
a triangle with all equal length sides
What is a isosceles triangle?
a triangle with two sides that are equal length
What is a scalene triangle?
a triangle with no sides of equal length
What is right triangle?
a triangle with a right angle in it
What does the Triangle Inequality Theorem state?
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Why is the Triangle Inequality Theorem important in the real world?
The Triangle Inequality Theorem is important because it is used to help construct buildings and bridges and is used by satellite navigation systems to determine how far apart two objects are on Earth.
What does the Triangle Inequality Theorem state?
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Determine whether lengths of 7 cm, 15 cm, and 12 cm will form a triangle.
Yes, the three will form a triangle since 7+12>15
, 7+15>12
, and 12+15>7
.
Althea is constructing a triangular picture frame for her friend Albert. She has measured the lengths of the sides of her picture frame to be 9 inches, 22 inches, and 11 inches. Will these lengths form a triangle?
No, the three lengths Althea has measured for her picture frame will not form a triangle because 9+11
is not greater than 22.
How is the Triangle Inequality Theorem used?
The Triangle Inequality Theorem is used to determine if three lengths will form a triangle and to determine the range of lengths that a third side may encompass, given the other two lengths, to form a triangle.
What two scenarios must you use to determine the lengths of a third unknown side given the side lengths of the other two sides?
In the first scenario, you must assume that the unknown side is the smallest side. In the second scenario, you must assume that the unknown side is the largest side.
