Practice Geometry Questions and Answers

• The length of the each side of an equilateral triangle is 42√3 cm . The area of circumcircle, (cm 2 ) is
• The length of the each side of an equilateral triangle is 63√3 cm . The area of circumcircle, (cm 2 ) is
• Find the area of triangle having sides in the ratio 2:4:5 & the perimeter of the triangle is 22 cm
• Find the area of triangle having sides in the ratio 4:5:7 & the perimeter of the triangle is 16 cm
• Find the area of triangle having sides in the ratio 3:5:7 & the perimeter of the triangle is 60 cm
• The radius of the incircle of a triangle is 10 cm. if the area of the triangle is 60 cm 2 , then its perimeter is?
• If angle between two sides of 3 cm & 2 cm of a triangle is 30°. what is the area of the triangle ?
• If angle between two sides of 4 cm & 5 cm of a triangle is 30°. what is the area of the triangle ?
• In ΔABC, PQ is parallel to BC If AP: PB=1:2 and AQ=3 cm, AC is equal to?
• In ΔABC, PQ is parallel to BC If AP: PB= 3:4 and AQ= 6 cm, AC is equal to?
• In ΔABC, PQ is parallel to BC If AP: PB= 3:5 and AQ= 3 cm, AC is equal to?
• In ΔABC, PQ is parallel to BC If AP: PB= 2:5 and AQ= 2 cm, AC is equal to?
• In ΔABC, PQ is parallel to BC If AP: PB= 3:2 and AQ= 6 cm, AC is equal to?
• If the ratio of areas of two similar triangles is 4:9, then the ratio of their corresponding sides is?
• The perimeters of 2 similar triangles ∆ABC and ∆PQR are 18 cm and 12 cm respectively. If PQ= 8 cm, then AB is?
• ∆ABC and ∆DEF are similar and their areas are respectively 121 cm2 and 144 cm 2 . If EF = 24 cm BC is?
• ∆ABC and ∆DEF are similar and their areas are respectively 16 cm2 and 64 cm 2 . If EF = 6 cm BC is?
• If in a right angle triangle ABC, Angle B is a right angle. AB = 8 cm, BC= 15cm if BD is perpendicular to AC find the length of BD? 
• If in a right angle triangle ABC, Angle B is a right angle. AB = 20 cm, BC= 21 cm if BD is perpendicular to AC find the length of BD? 
• If the ratio of side of a ∆ is 3:4:5, and a ┴ from opposite vertex drawn to the biggest sides at D, if the length of biggest side is 10 then find ratio...
• The volume (in cu.cm.) of a right circular cylinder with radius 1 cm and height 2 cm on is: (Take π = 22/7)
• In a circle with centre O, PAX and PBY are the tangents to the circle at points A and B. from an external point P. Q is any point on the circle such that &...
• In a ∆ ABC, the angle bisector of ∠A, ∠B, ∠C meet at point I, if ∠AIC is double of equilateral ∆ , then find the ∠ABC =? (in degree)...
• In the figure BD = CD = AC, ∠ ABC = 27 ° , ∠ ACD = y. Find value of x. ...
• In Fig. if QT ⊥ PR, ∠ TQR = 40 ° and ∠ SPR = 30 ° , find x and y.                 ...
• ABC is a right angled triangle. ∠ BAC = 90o and ∠ ACB = 60o. What is the ratio of the circum radius of the triangle to the side AB? ...
• in the given figure, ABCD is a square whose side is 4 cm. P is a point on the side AD. What is the minimum value (in cm) of BP + CP ? ...
• Triangle ABC is similar to triangle PQR and AB : PQ = 2 : 3. AD is the median to the side BC in triangle ABC and PS is the median to the side QR in triangl...
• In the given figure, B and C are the centres of the two circles. ADE is the common tangent to the two circles. If the ratio of the radius of both the circl...
• In the given figure, Ab = 30 cm and CD = 24 cm. What is the value (in cm) of MN? ...
• AB and AC are the two tangents to a circle whose radius is 6 cm. If ∠ BAC = 60o, then what is the value (in cm) of √(AB2 + AC2)?...
• In the given figure, ABC is a right angled triangle. ∠ ABC = 90 0and ∠ ACB = 60 0. If the radius of the smaller circle is 2 cm, then what is the radius...
• In the given figure, O is centre of the circle. Circle has 3 tangents. If ∠ QPR = 45 0 , then what is the value (in degrees) of ∠ QOR ? ...
• In the given figure, two identical circles of radius 4 cm touch each other. A and B are the centres of the two circles. If RQ is a tangent to the circle, t...
• ABC is a triangle. AB = 5 cm, AC = √41 cm and BC = 8 cm. AD is perpendicular to BC. What is the area (in cm2) of triangle ABD?
• In the given figure, PQR is a triangle and quadrilateral ABCD is inscribed in it. QD = 2 cm, QC = 5 cm, CR = 3 cm. BR = 4 cm. PB = 6 cm. PA = 5 cm and AD =...