Practice Geometry Questions and Answers

• In ∆ABC , G is the centroid , AB = 12 cm, BC= 16 cm and AC = 20 cm , find GD, where D is the mid-point of BC?
• In ∆ABC , G is the centroid , AB = 8 cm, BC= 10 cm and AC = 12 cm , find GD, where D is the mid-point of BC?
• In ∆ABC , G is the centroid , AB = 18 cm, BC= 24 cm and AC = 30 cm , find GD, where D is the mid-point of BC?
• In ∆ABC , G is the centroid , AB = 5 cm, BC= 8 cm and AC = 7 cm , find GD, where D is the mid-point of BC?
• If O is the orthocentre of ΔABC , if ∠ BOC = 105 0 then what is the measure of  ∠ BAC?
• If O is the orthocentre of ΔABC , if ∠ BOC = 1400 then what is the measure of  ∠ BAC?
• Orthocenter of an right angle triangle lies on
• If I is the incentre of ΔABC , if  ∠ BIC = 1200  , then what is the measure of  ∠ BAC?
• If I is the incentre of ΔABC , if  ∠ BIC = 105.50  , then what is the measure of  ∠ BAC?
• If I is the incentre of ΔABC , if  ∠ BIC = 112.5°  , then what is the measure of  ∠ BAC?
• If I is the incentre of ΔABC , if  ∠ BAC = 500 , then what is the measure of  ∠ BIC?
• If I is the incentre of ΔABC , if  ∠ BAC = 700 , then what is the measure of  ∠ BIC?
• If I is the incentre of ΔABC , if  ∠ BAC = 800 , then what is the measure of  ∠ BIC?
• If I is the incentre of ΔABC , if  ∠ BAC = 300 , then what is the measure of  ∠ BIC?
• If I is the incentre of ΔABC , if  ∠ BAC = 650 , then what is the measure of  ∠ BIC?
• If I is the incentre of ΔABC , if  ∠ BAC = 750 , then what is the measure of  ∠ BIC?
• If in a ΔABC, AD is internal angle bisector & D is a point on BC, AB = 6cm, BC = 9cm then what is BD:CD?
• If in a ΔABC, AD is internal angle bisector & D is a point on BC, AB = 7 cm, BC = 9cm then what is BD:CD?
• If in a ΔABC, AD is internal angle bisector & D is a point on BC, AB = 8 cm, BC = 10 cm then what is BD:CD?
• If in a ΔABC, AD is internal angle bisector & D is a point on BC, AB = 9 cm, BC = 12 cm then what is BD:CD?
• If in a ΔABC, the external angle bisector of angle A, meets BC when extended at a point D, BD = 6cm , BC = 4 cm then what is AB:AC ?
• If in a ΔABC, D is a point on BC such that BD = 3cm , BC = 5 cm then what is ratio of area of ΔABD to area of ΔADC ?
• If in a ΔABC, D is a point on BC such that BD = 2 cm , BC = 6 cm then what is ratio of area of ΔABD to area of ΔADC ?
• What will be inradius of an equilateral triangle of side 4 cm?
• What will be inradius of an equilateral triangle of side 2 cm?
• What will be inradius of an equilateral triangle of side 12 cm?
• What will be inradius of a right angle triangle whose base is 15cm & height is 8cm ?
• What will be inradius of a right angle triangle whose base is 3 cm & height is 4 cm ?
• What will be inradius of a right angle triangle whose base is 12 cm & height is 35 cm ?
• What will be inradius of a right angle triangle whose base is 11 cm & height is 60 cm ?
• What will be inradius of a right angle triangle whose base is 13 cm & height is 84 cm ?
• If O is circumcentre of acute angled triangle ABC, if ∠  BOC = 100˚  then  ∠ BAC = ?
• If O is circumcentre of acute angled triangle ABC, if ∠  BAC = 70˚  then  ∠ BOC = ?
• If O is circumcentre of acute angled triangle ABC, if ∠  BOC = 150˚  then  ∠ BAC = ?
• If O is circumcentre of acute angled triangle ABC, if ∠  BAC = 35˚  then  ∠ BOC = ?
• If O is circumcentre of acute angled triangle ABC, if ∠  BOC = 60˚  then  ∠ BAC = ?
• If O is circumcentre of acute angled triangle ABC, if ∠ OBC = 300 then ∠BAC = ?
• If O is circumcentre of acute angled triangle ABC, if ∠ OBC = 150 then ∠BAC = ?
• If O is circumcentre of acute angled triangle ABC, if ∠ OBC = 180 then ∠BAC = ?
• What will be circumradius of an equilateral triangle of side 6 cm?