Consider the statements given below:
- Incenter is the only center that is at an equi-perpendicular distance from all the sides of the triangle.
- In a right angled triangle, the distance between orthocenter and circumcenter is equal to the circumradius of the circle.
- Circumcenter is the only center that is the perpendicular bisector of each side.
Which of the above statement(s) is/are true?
Answer
Correct Answer : a ) Only statement (1) and (2) is correct
Explanation :According to the question
Statement (1) is correct
Incenter is the only center which is equi-perpendicular distance from all the sides of the triangle
Statement (2) is correct
In right angled triangle, the distance between orthocenter and circumcenter is equal to the circumradius of the circle
Statement (3) is wrong
Circumcenter is the only center which have equal distance from the vertex.
Hence, (a) is the correct answer.
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