Consider the following statements: (1) The point of intersection
Consider the following statements:
(1) The point of intersection of the perpendicular bisectors of the sides of a triangle may lie outside the triangle.
(2) The point of intersection of the perpendicular drawn from the vertices to the opposite side of a triangle may lie on two sides.
Which of the above statements is/are correct?A. 1 only
B. 2 only
C. Both 1 and 2
D. Neither 1 and 2
Please scroll down to see the correct answer and solution guide.
Right Answer is: C
SOLUTION
Point of intersection of the perpendicular bisector is the circumcenter of the triangle.
It is possible for three chords to form a triangle but do not include the center when it is an obtuse angled triangle
∴ Statement 1 is possible
In a right triangle the perpendicular drawn from two vertices of the hypotenuse are the sides themselves. They meet on the vertex and lie on the side
∴ Statement 2 is possible
∴ Both 1 and 2 true