three points are marked on a circle.the probability that the triangle got by these point is obtuse ?
Answers
Answer:
6
Step-by-step explanation:
If there are 3 Points (a, b, c) on the circumference of a circle, what is the probability that triangle a, b, c forms an Obtuse angle triangle?
3 arbitrary points a,b,c on the circumference of a circle. And forming triangle by joining them.
In the above experiment, there are 6 possible outcomes, which are as follows…
A circle is divided into any 2 semicircles. And in the following, points on the semicircle means, points are marked on its arc . So, 6 possible ways are:
(1): all 3 points on one semicircle , obtuse triangles formed
(2): all 3 points on 2nd semicircle , obtuse triangles formed.
(3): 1 point on one semi circle. 2 points on the other one. Acute triangles formed.
(4): 1 point on 2nd semicircle. 2pojnts on the first one. Acute triangles formed.
(5): 1 point on one semicircle, 2 points are endpoints of corresponding diameter. Right triangles formed.
(6): 1 point on the 2nd semicircke, 2 points are endpoints of corresponding diameter. Right triangles formed.
Now, let E be event “ forming obtuse triangle”. So, the no of outcomes favourable to E = 2
Now, P(E) = ( no of outcomes favourable to E) / No of possible outcomes
= 2/6 = 1/3
P(E) = 1/3
hope it helps ｡◕‿◕｡
Answer:
not only obtuse it can gat straight angle ,right angle,acute angle , reflex angle ,complex angle