Question

Which among the following statements is not true?
(A) The centroid of a triangle divides each median in the ratio 2:1.
(B) The perpendicular bisectors of the sides of a triangle are Concurrent.
(C) In a right angled triangle, the circumcenter is the mid-point of the hypotenuse.
D) The angle bisectors of a triangle are not concurrent.
(E) None of these​

Answer 1

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A: The centroid of a triangle divides each median in the ratio 2:1:

True

B:The perpendicular bisectors of the sides of a triangle are Concurrent.

True.

C:In a right angled triangle, the circumcenter is the mid-point of the hypotenuse.

True.

D:The angle bisectors of a triangle are not concurrent.

Not true(False)

Correct statement:

The three angle bisectors of the internal angles of a triangle are concurrent.

Answer 2

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A: The centroid of a triangle divides each median in the ratio 2:1:

True

B:The perpendicular bisectors of the sides of a triangle are Concurrent.

True.

C:In a right angled triangle, the circumcenter is the mid-point of the hypotenuse.

True.

D:The angle bisectors of a triangle are not concurrent.

Not true(False)

Correct statement:

The three angle bisectors of the internal angles of a triangle are concurrent.

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