Question

From following statements choose two correct statements related to equillateral triangle.
1) The orthocenter, centroid and incenter are all in the interior of triange
2)Altitudes are concurrent in the exterior of triangle.
3)Altitudes, medians and,angle bisectors at the same point..
4) Every angle of triangle are of unequal measure
choose two opinions​

Answer 1

Given : Statements about  equilateral triangle

To Find :  choose two correct statements

1) The orthocenter, centroid and incenter are all in the interior of triangle

2)Altitudes are concurrent in the exterior of triangle.

3)Altitudes, medians and, angle bisectors meet at the same point..

4) Every angle of triangle are of unequal measure

Solution:

In Equilateral triangle :

1) The orthocenter, centroid and incenter are all in the interior of triangle

TRUE

In Equilateral triangle ,  Altitudes are concurrent in the interior of triangle.

Hence 2)Altitudes are concurrent in the exterior of triangle.  FALSE

In Equilateral triangle  

3)Altitudes, medians and, angle bisectors meet at the same point..  

TRUE

In Equilateral triangle ,  Every angle of triangle are of  equal measure

4) Every angle of triangle are of unequal measure  FALSE

Hence , two correct options are:

1) The orthocenter, centroid and incenter are all in the interior of triangle

3)  Altitudes, medians and, angle bisectors meet at the same point..  

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