The in-radius of an equilateral triangle is of length 3 cm. Then the length of each of its medians is (1) 12 cm (2) 9 2 cm (3) 4 cm (4) 9 cm (SSC CHSL DEO & LDC Exam. 11.12.2011 (Ist Sitting (East Zone) 2. If the orthocentre and the cen- troid of a triangle are the same, then the triangle is : (1) Scalene (2) Right angled (3) Equilateral (4) Obtuse angled (SSC CHSL DEO & LDC Exam. 21.10.2012 (IInd Sitting) 3. If in a triangle, the circumcen- tre, incentre, centroid and ortho- centre coincide, then the trian- gle is (1) Acute angled (2) Isosceles (3) Right angled (4) Equilateral (SSC CHSL DEO & LDC Exam. 28.10.2012, Ist Sitting) 4. In a triangle, if three altitudes are equal, then the triangle is (1) Obtuse (2) Equilateral (3) Right (4) Isosceles (SSC Graduate Level Tier-I Exam. 19.05.2013 Ist Sitting) 5. If ABC is an equilateral triangle and D is a point on BC such that AD ^ BC, then (1) AB : BD = 1 : 1 (2) AB : BD = 1 : 2 (3) AB : BD = 2 : 1 (4) AB : BD = 3 : 2 (SSC Graduate Level Tier-II Exam. 29.09.2013 6. The side QR of an equilateral tri- angle PQR is produced to the point S in such a way that QR = RS and P is joined to S. Then the mea- sure of ÐPSR is (1) 30° (2) 15° (3) 60° (4) 45° (SSC CHSL DEO & LDC Exam. 10.11.2013, IInd Sitting) 7. If the circumradius of an equilat- eral triangle be 10 cm, then the measure of its in-radius is (1) 5 cm. (2) 10 cm. (3) 20 cm. (4) 15 cm. (SSC CHSL DEO & LDC Exam. 04.12.2011 (IInd Sitting (East Zone) 8. If the incentre of an equilateral triangle lies inside the triangle and its radius is 3 cm, then the side of the equilateral triangle is (1) 9 3 cm (2) 6 3 cm (3) 3 3 cm (4) 6 cm (SSC Graduate Level Tier-II Exam.16.09.2012) 9. In a triangle, if orthocentre, cir- cumcentre, incentre and cen- troid coincide, then the triangle must be (1) obtuse angled (2) isosceles (3) equilateral (4) right-angled (SSC CGL Tier-I Re-Exam. (2013) 27.04.2014) 10. If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA

pur-new-sol

Related Questions