Name the point of concurrency of the angle bisectors
1 answer:
Answer:
The correct option is C.
Step-by-step explanation:
We have to find the point of concurrency of the angle bisectors. It means we have to find the intersection points of all bisectors.
Let the vertices of triangle are PQR.
From the given figure it is notices that the line PC, QC and RC bisects the angles P, Q and R respectively.
The lines PC,QC are RC are bisectors of the triangle and they are intersecting each other at point C.
Therefore point C is point of concurrency of the angle bisectors and option C is correct.
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Answer:
x = 14
Step-by-step explanation:
In the triangle O is the centroid.
Now, we know that the centroid divides the medians in the 2 : 1 ratio that means the distance from the centroid to the vertex and the distance from the centroid to the opposite side remains in 2 : 1 ratio.
So, from the given diagram we can write
⇒ 3x = 4x - 14
⇒ x = 14 (Answer)