From geometry terms and definitions ,we know

An exterior angle (or external angle) is an angle formed by one side of a simple polygon and a line extended from an adjacent side.

In any triangle, if one of the sides is produced, then the exterior angle is greater than either of the interior and opposite angles,

The sum of the internal angle and the external angle on the same vertex is 180°.

The sum of the measures of the external angles of a polygon ,one at each vertex is 360°.

Here angle 1,2 ,3 are external angles

1+2+3 = 360°.

Let’s see an example on this….from 10 grade math geometry

Find the value of x in the figure….

Since we have a straight line and a part of it is 80

Angle x=180-80

So x=100°

This also help solving slope of a line problems in algebra ii

For determining the length of the chords in Circle, Rectangular Co ordinate System is used. According the graphical representation, radius towards right side is positive and towards left is negative.

Topic : Length of Chords in a Circle of radius r

Using definite integrals we can calculate the length of chords with some constraints.

Question : In a circle of radius r, find the average length of the chords perpendicular to the diameter [-r, r].

Solution :

For more information and clarification related to the above topic you can find help at calculus help.

Topic : Straight Line Equation

Question :  Find the equation of the straight line with slope 1/3 and passes through the point ( 3, -3)

Answer :

Given point is (3,-3)

and slope 1/3

THe slope intercept form of a line is y = mx + b;

m is slope and

b is y intercept

Given y=m/3 so we have y= (1/3)x + b

This line passess through (3,-3), So we substitute x=3 and y = -3

y=(1/3)x+b

-3=(1/3)*3+b

-3=1+b

-1=-1  subtracting 1 on both the sides

——-

-4=b

Hence substitute b = -4

So the required equstion is y = (1/3)x -4

we can simplify further as,

3y= 3[(1/3)x-4]

3y= 3*(1/3)x -3*4

3y=x-12 is the equation of straight line.

Topic : Properties of Triangle

Question : List and Explain the properties of Triangle.

Solution :

Vertex : The vertex (plural: vertices) is a corner of the triangle. Every triangle has three vertices. 

Base : The base of a triangle can be any one of the three sides, usually the one drawn at the bottom. You can pick any side you like to be the base. Commonly used as a reference side for calculating the area of the triangle. In an isosceles triangle, the base is usually taken to be the unequal side. 

Altitude : The altitude of a triangle is the perpendicular from the base to the opposite vertex. The altitudes intersect at a single point, called the orthocenter of the triangle.

Median : The median of a triangle is a line from a vertex to the midpoint of the opposite side. 

Area : The number of square units it takes to exactly fill the interior of a triangle.

Perimeter : The distance around the triangle. The sum of its sides. Definition: The total distance around the outside of a triangle

perimeter = a+b+c, where a,b and c are the lengths of each side of the triangle