Math formula – Hello, meet again with mathematical formulas, in the discussion of the material this time we will discuss about Class X Mathematics Three-Dimensional Space Materials . In this material, there are 3 sub-headings that will be discussed, starting with a discussion of distance, then a discussion of angles, and finally a clarification of the volume of space will be given. Let’s just take an exclusive look at the discussion.
Mathematical Three Dimensional Space Material About Distance, Angle, and Volume of Shapes
Is a line whose position is perpendicular to a plane where the line is perpendicular to every line in the plane.
Distance of point and line
The distance from point A to line G is the segment length of line AA’ where point A’ is the projection of A on g.
Point and plane distance
The distance between point A and the plane is the length of the line segment AA’ where point A’ is the projection of point A on the plane.
The distance between two parallel lines
To find the distance between two parallel lines, we must draw a straight line between them. The resulting intersection distance is the distance from the two lines.
Parallel line and plane distance
To select the distance between the line and the plane by creating a line projection on the plane. The distance between the line and its shadow is the distance between the line and the plane.
The distance between the vertices of the cube
The distance between the vertices of a cube can be found using the formula:
side diagonal AC = a️2
space diagonal CE = a️3
line segment EO = a/2️6
Important to remember:
when you want to choose a distance, the first thing you have to do is create the auxiliary lines that form a triangle. that way you will find it easier to find the distance asked in the question.
Also read: Mathematical Formulas of Exponential and Logarithmic Functions
Angle between line and plane
The angle between the line and the plane is the angle formed between the line and its image when the line is projected onto the plane below it.
Angle between two planes
The angle between two planes is the angle formed by two straight lines whose position is perpendicular to the intersection of the planes and .
Important to remember:
When you want to choose an angle, the very first thing you have to do is to first select the point of intersection between the two objects to be angled, after that make the auxiliary lines that form a triangle.
For volume material, you can read it HERE
A few discussions of discourse material Class X Mathematics Three-Dimensional Space Materials . See you in the discussion of the next math lesson material. Keep Learning.