Math- Triangles

Question 1

What is the rule about triangle side lengths?

Answer 1

For any triangle, the sum of any two sides must be greater than the third.

Question 2

What are the properties of an isosceles triangle?

Answer 2

An isosceles triangle is one that has two sides of equal length. The angles opposite those sides are equal.

Question 3

What are the properties of an equilateral triangle?

Answer 3

In an equilateral triangle, all sides have the same length. Because equal sides imply equal angles, the angles are all 60 degrees.

Question 4

What is the pythagorean thorem?

Answer 4

a^2 + b^2 = c^2

Question 5

What are some of the common length values (triples) for a right triangle?

Answer 5

3 - 4 - 5 triangle and all its multiples (6 - 8 - 10), 5 - 12 - 13, 7 - 24 - 25, 8 - 15 - 17`

Question 6

What are the two special right triangles

Answer 6

45 - 45 - 90 and 30 - 60- 90

Question 7

What are the angles and side lengths of a 45 - 45- 90 triangle?

Answer 7

The angle values are 90, 45, and 45 degrees. This triangle is similar to an isosceles triangle. The two base lengths equal x and the hypotenuse equals x(square root 2).

Question 8

What are the angles and side lengths of a 30 - 60 - 90 triangle?

Answer 8

The angle values are 30, 60, and 90 degrees. The side opposite from 30 equals x. The side opposite from 60 equals x(square root 3). The side opposite from 90 equals 2x.

Question 9

How do similar triangles work?

Answer 9

When two triangles have the same angle measures, their sides are proportional. The ratio of their lengths will always stay the same.

Question 10

How many radians equals how many degrees?

Answer 10

pie radians equals 180 degrees.

Question 11

How do you convert from radians to degrees and vice versa?

Answer 11

Do unit conversion with crossing out units.