Unit 2 Lesson 6 Sides of a triangle

Question 1

What is a polygon

Answer 1

a closed figure made up of line segments in a two-dimensional plane

Question 2

What is a triangle

Answer 2

a polygon having three sides

Question 3

What is a Triangle inequality Theorem?

Answer 3

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

Question 4

How many sides does a plygon have to have?

Answer 4

They have at least three sides and are formed by straight line segments that meet to form corners called vertices (the plural of vertex).

Question 5

What is a equilateral triangle?

Answer 5

a triangle with all equal length sides

Question 6

What is a isosceles triangle?

Answer 6

a triangle with two sides that are equal length

Question 7

What is a scalene triangle?

Answer 7

a triangle with no sides of equal length

Question 8

What is right triangle?

Answer 8

a triangle with a right angle in it

Question 9

What does the Triangle Inequality Theorem state?

Answer 9

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.

Question 10

Why is the Triangle Inequality Theorem important in the real world?

Answer 10

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.

Question 11

What does the Triangle Inequality Theorem state?

Answer 11

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.

Question 12

Determine whether lengths of 7 cm, 15 cm, and 12 cm will form a triangle.

Answer 12

Yes, the three will form a triangle since 7+12>15
, 7+15>12
, and 12+15>7
.

Question 13

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?

Answer 13

No, the three lengths Althea has measured for her picture frame will not form a triangle because 9+11
is not greater than 22.

Question 14

How is the Triangle Inequality Theorem used?

Answer 14

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.

Question 15

What two scenarios must you use to determine the lengths of a third unknown side given the side lengths of the other two sides?

Answer 15

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.

Question 16

Kai is surveying land where a triangular intersection of three roads needs to be created. He knows that the lengths of the two roads that will intersect are 122 meters and 203 meters. Help Kai determine the range of lengths that the third road needs to be in order to make a triangular intersection.

Answer 16

The range of possible lengths that the third road needs to be in order to make a triangular intersection are between 81 meters and 325 meters or 81<x<325
.