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Practice Geometry Questions and Answers

Triangle ABC and triangle ACD are right angled triangle and AB = x cm. BC = y cm, CD = z cm and x times; y = z and x, y and z has minimum integral value. T...
In the figure given below, PQ is parallel to RS. What is `angleNMS` ...
In a line PQ, is drawn parallel to BC, points P, Q being on AB and AC respectively. If AB = 3 AP, then what is the ratio of the area of triangl...
ABCD is a square. P, Q, R and S are points on the sides AB, BC, CD and DA respectively such that AP = BQ = CR = DS. Angle SPQ equal to ? ...
Given are three points A(2, 7), B(4, -1), C(- 2, 6) on a plane. What kind of triangle is formed by joining the points A, B, and C? ...
If y = 5x + c passes through point A(5, 2), what is the value of c? ...
In the given figure CD is parallel to AB then ∠y is? ...
The area of the largest triangle inscribed in a semi-circle of radius R is-
O and C are the respectively orthocentre and circumcentre of ∆PQR. The line PO is extended which intersect line QR at S. such that, ∠QCR = 140°, ∠PQ...
In ∆ABC, AB = 5cm, BC = 6cm and AC = 10cm then find out the value of cos A?
The internal bisector of ∆ABC at ∠A cuts BC on D and cuts the circumcircle at E. If DE = 6cm, AC = 8cm and AD = 10 cm, then find the length of AB?
In a right angle triangle, the product of two sides is half of the square of the third side (i.e., hypotenuse). Accordingly find out the acute angle?
In the figure P is a point which is 12 cm away from the centre of the circle O. A line drawn from P point cuts circle at point A and B respectively. If PB ...
PQRS is a cyclic quadrilateral of which PQ is the diameter. Diagonals PR and QS intersect at A. If SQR = 25°, then angle PAS measures
A rectangle with a diagonal of length 28m is inscribed in a circle. Find the area of a circle?
Find out the circumference of a sector whose radius is 7 cm and it makes the angle of 45° at the centre?
In the given figure CD is parallel to AB then ∠y is? ...
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?
The ratio of the angles ∠A and ∠B of a non-square rhombus ABCD is 7:5, then the value of the ∠C 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
In ΔABC, AD and BE are perpendiculars from A and B to the sides BC and AC, then-
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 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?
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 ?
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 21 cm, 28 cm, 35 cm. What is the area of that traingle (in cm 2 )?
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?

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