how to construct 30 degree angle using compass | 30° angle

how to construct 30 degree angle using compass | 30° angle

30 degree angle construction with compass

#practicalgeometry
#class7maths
#maths
#geometry
#geometricconstruction

[you_nome]

How did i end up in high school math youtube short secrion😂

[vvlogs]

Thank you tomorrow I have my final exam it will help me

[超級快龍]

What he did is he drew a 60 60 60 triangle first (which each side length is equal) and then he cut the 60 degree angle into half
Basic junior high school math

[HuJinSan]

첫 번째 선과 두 번째 선을 그을 때 같은 길이로 원을 그리기 때문에 두 원의 교차점O¹과 원점, 그려진 직선에서 첫 번째 원이 닿은 점 O² 사이엔 보이지 않는 정삼각형이 만들어지게 됩니다. 그리고 세 번째로 그린 원과 두 번째로 그린 원 사이의 교차점 O³와 앞선 O¹, O²의 점을 이으면 OO¹O²와 완벽히 똑같은 길이를 가진 삼각형 O¹O²O³이 완성되는데요. O에서 O³으로 직선을 긋게 되면 첫 번째 정삼각형의 꼭짓점 O에서 수선을 내린 형태가 됩니다. 정삼각형은 각각의 각이 60°이고 수선을 내리면 정확히 절반인 30°가 나옵니다.

[Thanvi]

Thank you thank you thank you much ❤🎉🎉🎉

[war_reimon]

Your first cross is the equilateral triangle(60°), with the second you are bisecting it to 30°.

[NeelamSingh-kdtb]

Thank you sir tommorow i have my maths exam this video help ne🌹🌹

[grammartechandliterature]

Thank u sir i am having exam tomorrow this will help me a lot

[poonampatil]

Thank you sir for this 😢 it will help for my exams and homework too😅😅🙏🙏

Another proof that a line can be constructed at a specific angle ( 30°) from the line connecting the intersection points of two circles, we can use geometry...the concepts of angles, triangles, and circle properties.

Given:
Two circles C1 and C2 intersecting at points A and B.

The line AB is defined as the line connecting these intersection points.

Definitions:
1. Let O1 be the center of circle C1.
2. Let O2 be the center of circle C2.
3. Let M be the midpoint of AB.

Goal:
We want to show that a line can be drawn through M that makes a 30° angle with the line AB.

Proof:

1. The line AB can be expressed as the vector from point A to point B. If @ is the angle we want to create with line AB, we can use the angle properties such that the angles of rotation are measured counterclockwise from line AB.

2. Consider the triangle O1AB and O2AB. Angles at point M (which is the midpoint of AB) can be used to analyze the angle relationship.

3. Since a circle’s circumference contains all angles around a point summing to 360°, any line can be formed at a defined angle from any segment of the circle.

4. If we rotate AB about point M by the angle @, the new line will be defined as rotating the coordinate vector of AB through angle @. For an angle @ = 30°, we can use basic trigonometric principles.

The coordinates of points A and B can be defined in terms of the Cartesian plane. For example, if A = (x1, y1) and B = (x2, y2), the midpoint M would be at: M = ({x1 + x2}/{2}, {y1 + y2}/{2})

5. The slope of the line AB can be calculated:
AB = m{AB} = {y2 - y1}/{x2 - x1}

Using the angle of line AB with respect to the horizontal axis, we can find the angle Phi = tan^{-1}(m{AB}).

6. The new line L passing through M at 30° can thus be created:

When the line makes an angle (Phi + 30°) with the horizontal:
mL = tan(Phi + 30°) = {tan(Phi) + tan(30°)}/{1 - tan(Phi) tan(30°)}


The tangent of 30° being {1}/{sqrt{3}}

7. Therefore by applying the tangent addition formulas, we can construct a new line L with a specific angle (30°) from line AB mathematically.

As this is purely a geometric construction, validated by triangle and angle properties, the construction holds in any planar geometry.

Therefore it is possible to construct the 30⁰ line using geometric properties and trigonometric relationships.

[shaunsankar]

You bisected the 60 beforehand, cool. It'd be more beneficial to the students to understand how to draw a 60°, then understand how to bisect it

[batoolfatima]

Thanks for this .... Tomorrow is my exam and i am currently practicing construction so it really helped
Btw you gained a new subscriber...🎉
Keep up your work 💯👍🏻👍🏻

[wickedbird]

😮😮Sweet and easy. I would love to know the math behind this. So homework for me this weekend. 😅😅😅

[RobertEHowardHamlin]

Remembering where to place all these circles seems a lot more convoluted than just using a triangle ruler

[P.CGaming_]

Thank you so much Golu bhaiya ❤❤❤❤❤❤❤ tomorrow is my maths exam it will help me a lot 😊😊😊😊😊

[roniesidhu-jzkj]

On monday my final exam is there so it surely help me in maths exam 🎉

[dawasuniqueworld]

Thank you sir.. I am having my maths exam tomorrow.. This video helped me a lot 🌷🌷

[jaredloveless]

Omg, I have been struggling to remember how these work. Thank you!

[PolishchukMaxim]

Hello. Using a compass, we constructed a rhombus from two equilateral triangles, and then remembered that the diagonal of a rhombus is its bisector. Great job!

[minimople]

much easier than what my teacher taught me she was telling to construct a 60 degree first and then bisect itinto 2 parts. Still she is a good teacher