The three straight paths, AB, BC, and AC meet each other at three points, A, B, and C. How do these points of intersection differ from each other? Explain the differences in terms of the angles that you see. Also look at the length of the side opposite each angle. What pattern do you se regarding the measurements? In what situation would all the points of intersection resemble one another? Modify the triangle in GeoGebra to help you with your answers.
Answers
Answer:
The three straight paths intersect at different angles. In other words, the amountrequired to turn one path onto the other is different about each vertex. Thelargest angle is opposite the longest side, and the smallest angle is opposite theshortest side. If all three points of intersection look the same, the result is atriangle with three equal angles and three equal sides.
Step-by-step explanation:
The angle of intersection of AB, BC and AC when, they meet each other at three points, are 54.48°, 81.83° and 43.65°.
What is the law of cosine?When the three sides of a triangle is known, then to find any angle, the law of cosine is used. It can be given as,
[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]
Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.
The three straight paths, AB, BC, and AC meet each other at three points, A, B, and C.
Difference between the points of intersection of A, B and C-All the points of intersection of given angle A, B and C keeps the different value as all the sides of the triangle is not equal.
The differences in terms of the angles-
The length of the angle C using the above formula,
[tex]5^2=4.24^2+6.08^2-2(4.24)(6.08)\cos (C)\\C=\cos^{-1}(0.581)\\C=54.48^o[/tex]
Similarly, the measure of angle B,
[tex]6.08^2=5^2+4.24^2-2(5)(4.24)\cos (B)\\B=\cos^{-1}(0.142)\\B=81.83^o[/tex]
The measure of angle A,
[tex]4.24^2=5^2+6.08^2-2(5)(6.08)\cos (A)\\A=\cos^{-1}(0.7235)\\A=43.65^o[/tex]
The length of the side opposite each angle-The length of the side opposite to angle A is 4.24 units, side opposite to angle B is 6.08 units and side opposite to angle C is 5 units.
The pattern regarding the measurements-All the sides and angles of the triangle are different from each other. This triangle ABC is a scalene triangle.
Situation in which all the points of intersection resemble one another-When all the point of intersection of provided line intersect at a single point. Then all the points of intersection resemble one another.
Thus, the angle of intersection of AB, BC and AC when, they meet each other at three points, are 54.48°, 81.83° and 43.65°.
Learn more about the law of cosine here;
https://brainly.com/question/4372174
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Answer
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Step-by-step explanation:
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Answer:
The amount between each. Since you didn't attachment any further information like the amount of M, N, and P or a graph chart- I'll only be able to give an example.
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Answers
Answer:
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Step-by-step explanation:
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= a₁ + 85 - a₁ - 60
= 25
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Answers
Answer:
can't hwlp you without an image
Solve
solution
5w + 3 <4w + 9 graph the
set on
number
Line
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Answer:
hope it helps
ppz mark as brainliest