Which of the following statements is / are correct statements?
1. Centroid of a triangle is the point of concurrrency of medians
2. Incentre of a triangle is the point of concurrency of perpendicular bisectors of the sides of the triangle
3. Circumcentre of a triangle is the point of concurrency of internal bisectors of the angles of the triangle
4. Orthocentre of a triangle is the point of concurrency of altitudes of the triangle drawn from one vertex to opposite side
5. A triangle can have only one excentre
Which of the following statements is / are correct statements?
1. Centroid of a triangle is the point of concurrrency of medians
2. Incentre of a triangle is the point of concurrency of perpendicular bisectors of the sides of the triangle
3. Circumcentre of a triangle is the point of concurrency of internal bisectors of the angles of the triangle
4. Orthocentre of a triangle is the point of concurrency of altitudes of the triangle drawn from one vertex to opposite side
5. A triangle can have only one excentre
The correct option is B only 1,4
1. Centroid of a triangle is the point of concurrency of medians
Centroid G of the triangle ABC, divides the median AD in the ratio 2:1 and coordinate of G (Centroid)
X=x1+x2+x33,Y=y1+y2+y33
Statement 1 is correct
2. Incentre of a triangle is the point of concurrency of internal bisectors of the angles of the triangle
Statement 2 is worng
3. Circumcentre is the centre of circle passing through the vertices of the triangle.
4. Orthocentre of a triangle is the point concurrency of altitudes of the triangle drawn from one vertex to opposite side
Statement 4 is correct
5.
Excentre of the triangle is a circle lying outside the triangle, tangent to one of its sides and tangent to the extensions of the other two. Every triangle has three distinct Excentre, each tangent to one of its sides.
So, statement 5 is wrong
ONLY statement 1 and 4 are correct
only 1,4
1. Centroid of a triangle is the point of concurrency of medians
Centroid G of the triangle ABC, divides the median AD in the ratio 2:1 and coordinate of G (Centroid)
X=x1+x2+x33,Y=y1+y2+y33
Statement 1 is correct
2. Incentre of a triangle is the point of concurrency of internal bisectors of the angles of the triangle
Statement 2 is worng
3. Circumcentre is the centre of circle passing through the vertices of the triangle.
4. Orthocentre of a triangle is the point concurrency of altitudes of the triangle drawn from one vertex to opposite side
Statement 4 is correct
5.
Excentre of the triangle is a circle lying outside the triangle, tangent to one of its sides and tangent to the extensions of the other two. Every triangle has three distinct Excentre, each tangent to one of its sides.
So, statement 5 is wrong
ONLY statement 1 and 4 are correct
