Practice Geometry Questions and Answers

• The internal bisector of ∆ABC at ∠A cuts BC on D and cuts the circum circle at E if DE = 6cm, AC = 8cm and AD = 10 cm then find the length of AB?
• PQ and PR are the two chords of a circle. The tangents at Q and R meet at A. If ∠QPR = 64°, then the measure of ∠QAR is?
• ABCD is a cyclic quadrilateral, such that ratio of measures ∠A, ∠B and ∠C is 1 : 4 : 5, then the measure of ∠D is?
• Find the ratio between the area of the in-circle and the circum-circle of a square?
• In the given Figure, Find  angle BCD. If AB is a diameter & AB is parallel to CD. ...
• In an obtuse angle  triangle PQR, the external angle bisector of  angle P intersect the extended part of line RQ at M and the external angle bisector of ...
• AB and AC are two Chords of a circle with centre O. M and N are the mid points of the chords respectively. The line OM and ON are extended which intersects...
• In the given figure PQRS is a square and OQR is an equilateral triangle, then find angle POS? ...
• In a given Figure, ON ∥  QR and MN ∥  OR. If, PO : OQ = 2 : 3 then find MO : OQ?...
• Find the distance between two parallel chords of length 24 cm each in a circle of diameter 25 cm?
• The ratio of the angles ∠A and ∠B of a non-square rhombus ABCD is 7:5, then the value of the ∠C is
• What is the ∠ SRO if O is the centre of circle, ∠ SPO = 55˚ and ∠ POR = 115 ˚ ...
• If median AD of an equilateral ∆ABC is 6 cm and G is centroid. Find AG?
• If median AD of an equilateral ∆ABC is 24 cm and G is centroid. Find AG?
• If median AD of an equilateral ∆ABC is 21 cm and G is centroid. Find GD?
• If the area of ∆ ABC is 33 cm2 & G is the centroid of ∆ ABC.then the area of the ∆ BGC?
• If the area of ∆ ABC is 30 cm2 & G is the centroid of ∆ ABC.then the area of the ∆ AGB?
• If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 72 cm 2 , then the area of ∆BDG is?
• If G is the centroid and AD, BE, CF are three medians of ∆BDG with area 6cm 2 , then the area of ∆ABC is?
• If G is the centroid and AD, BE, CF are three medians of ∆ABCwith area 24 cm 2 , then the area of ∆CGD is?
• If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 216 cm 2 , then the area of ∆AGF is?
• If G is the centroid and AD, BE, CF are three medians of ∆AGF with area 11 cm 2 , then the area of ∆ABC is?
• If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 54 cm 2 , then the area of ∆BGD is?
• If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 42 cm 2 , then the area of ∆BGD is?
• If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 78 cm 2 , then the area of ∆BGF is?
• In ∆ABC, AD = DB , DE is parallel to BC, and the area of ∆ABC is 24 cm2. What is the area of ∆ADE in cm2 ?
• In ∆ABC, AD = DB , DE is parallel to BC, and the area of ∆ABC is 20 cm2. What is the area of ∆ADE in cm2 ?
• The lengths of three medians in a triangles are 6 cm, 8 cm, 10 cm. What is the area of that traingle (in cm 2 )?
• The lengths of three medians in a triangles are 9 cm, 12 cm, 15 cm. What is the area of that traingle (in cm 2 )?
• The lengths of three medians in a triangles are 24 cm, 32 cm, 40 cm. What is the area of that traingle (in cm 2 )?
• The lengths of three medians in a triangles are 21 cm, 28 cm, 35 cm. What is the area of that traingle (in cm 2 )?
• The lengths of three medians in a triangles are 30 cm, 40 cm, 50 cm. What is the area of that traingle (in cm 2 )?
• The lengths of three medians in a triangles are 15 cm, 20 cm, 25 cm. What is the area of that traingle (in cm 2 )?
• If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 60 cm² , then the area of ∆EFG is?
• If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 78 cm² , then the area of ∆EFG is?
• If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 96 cm² , then the area of ∆EFG is?
• If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 108 cm² , then the area of ∆EFG is?
• In ∆ABC , G is the centroid , AB = 5 cm, BC= 6 cm and AC = 7 cm , find GD, where D is the mid-point of BC?
• In ∆ABC , G is the centroid , AB = 20 cm, BC= 24 cm and AC = 28 cm , find GD, where D is the mid-point of BC?
• In ∆ABC , G is the centroid , AB = 6 cm, BC= 8 cm and AC = 10 cm , find GD, where D is the mid-point of BC?