alleryStart learning →The three medians of a triangle meet at which point?
- Centroid
- Incentre
- Circumcentre
- Orthocentre
Show answer and solution
Correct answer: A. Centroid
A median joins a vertex to the midpoint of the opposite side, and all three cross at the centroid.
SSC CGL Triangle Center — practice questions
Explore 93 free Triangle Center questions in SSC CGL Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.
Practise Triangle Center with Quill →Triangle Center questions and exercises with answers
Showing questions 1–30 of 93.
The three medians of a triangle meet at which point?Read the answer and worked solution →The internal angle bisectors of a triangle are concurrent at itsRead the answer and worked solution →The perpendicular bisectors of the sides of a triangle meet at theRead the answer and worked solution →The three altitudes of any triangle intersect at theRead the answer and worked solution →In an equilateral triangle, how do the four classical centres behave?Read the answer and worked solution →A median of a triangle is 12 cm long. How far is the centroid from the vertex?Read the answer and worked solution →The centroid G of a triangle is 5 cm from the midpoint of a side along the median. How long is that median?Read the answer and worked solution →The centroid lies 14 cm from vertex A. How far is it from the midpoint of BC?Read the answer and worked solution →If O is the circumcentre of triangle ABC and angle A is 40°, what is angle BOC?Read the answer and worked solution →Bisectors of angles B and C of a triangle meet at I. If angle A is 84°, angle BIC measuresRead the answer and worked solution →Find the inradius of a right triangle with sides 6, 8 and 10 cm.Read the answer and worked solution →An equilateral triangle has side 6√3 cm. Find its circumradius.Read the answer and worked solution →An equilateral triangle has side 12√3 cm. What is the radius of its incircle?Read the answer and worked solution →The incircle of a triangle is best described as theRead the answer and worked solution →How many excircles does every triangle have?Read the answer and worked solution →A triangle has perimeter 30 cm and an incircle of radius 4 cm. Its area isRead the answer and worked solution →Triangle sides are 13, 14 and 15 cm and its area is 84 cm². Find the inradius.Read the answer and worked solution →A triangle has area 48 cm². A median splits it into two parts of areaRead the answer and worked solution →G is the centroid of a triangle of area 90 cm². What is the area of triangle GBC?Read the answer and worked solution →In an isosceles triangle, every triangle centre lies onRead the answer and worked solution →Which three triangle centres always lie on the Euler line?Read the answer and worked solution →The centroid of a parallelogram is located atRead the answer and worked solution →The point equidistant from all three sides of a triangle is itsRead the answer and worked solution →Triangles are congruent by SAS when two sides and which angle are equal?Read the answer and worked solution →If three sides of one triangle equal three sides of another, the triangles are congruent byRead the answer and worked solution →Two angles and the side between them are equal in two triangles. The criterion isRead the answer and worked solution →Two right triangles with equal hypotenuses and one equal leg are congruent byRead the answer and worked solution →Which condition does not by itself guarantee two triangles are congruent?Read the answer and worked solution →Two triangles have all three angles equal. They must beRead the answer and worked solution →In geometry proofs, what does CPCTC stand for?Read the answer and worked solution →
Worked practice questions
The internal angle bisectors of a triangle are concurrent at its
- incentre
- orthocentre
- centroid
- circumcentre
Show answer and solution
Correct answer: A. incentre
The point equidistant from all three sides lies on every internal angle bisector and is the incentre.
The perpendicular bisectors of the sides of a triangle meet at the
- circumcentre
- incentre
- orthocentre
- centroid
Show answer and solution
Correct answer: A. circumcentre
Every point on a perpendicular bisector is equidistant from two vertices, so the common point is the circumcentre.
How to practise
- Choose a Triangle Center question and try to work out your answer.
- Open the question to check the correct answer and read its worked solution.
- Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.