Test Index

WAEC Mathematics 2011 Paper

Question : 29

Total: 47

The perpendicular bisectors of the sides of an acute-angled triangle are drawn. Which of these statements is correct? They intersect

on one of the vertices
at a midpoint of a side
inside the triangle
outside the triangle

Validate

Solution:

Concept:

The perpendicular bisectors of the sides of a triangle meet at the circumcentre. This point is equidistant from all three vertices.

Explanation:

When the perpendicular bisectors of the sides are drawn, their point of intersection is the centre of the circumcircle. This circle passes through all three vertices of the triangle.

For an acute-angled triangle, all angles are less than

90^\circ

In such a triangle, the circumcentre always lies inside the triangle.

Therefore, the perpendicular bisectors intersect inside the triangle.

Answer:

inside the triangle

Go to Question:

Prev Question

Next Question