Which term describes the point where the three angle bisectors of a triangle intersect?
2 answers:
Answer:
Hence, The term which describes the point where the three angle bisectors of a triangle intersect is incenter.
Step-by-step explanation:
For better understanding of the solution see the attached figure of the problem :
If the angles bisectors of all the three angles of triangle meet at a point inside a circle, then that point is equidistant from all the three vertices of the triangle.
Also, The incenter of a triangle is the center of the incircle or the largest circle that can be inscribed in the triangle.
The point at which all the three angle bisectors meet is also the center of the incircle.
Hence, The term which describes the point where the three angle bisectors of a triangle intersect is incenter.
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Answer:
Step-by-step explanation:
We have been an integral . We are asked to find the general solution for the given indefinite integral.
We can rewrite our given integral as:
Now, we will apply the sum rule of integrals as:
Using common integral , we will get:
Now, we will use power rule of integrals as:
We know that integral of a constant is equal to constant times x, so integral of 1 would be x.
Therefore, our required integral would be .