Question
In a rectangle PQRS, there is a point A located within the interior of the rectangle. The distances from point A to three vertices of the rectangle are as follows: AP = 8 cm, AR = 6 cm, and AQ = 5 cm. Determine the length of AS.
We know that in rectangle, AP2 + AR2 = AS2 + AQ2 So, 82 + 62 = AS2 + 52 Or, 64 + 36 = AS2 + 25 Or, 100 = AS2 + 25 Or, AS2 = 75 Or, AS = ±5√3 cmMore Geometry Questions
- 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
- 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?
- In ABC,D is a point on side AB such that BD = 2 cm and DA = 3 cm. (E is a point on BC such that DE) AC, and AC = 4 cm. Then (Area of A BDE) : (Area of trap...
- Let G be the centroid of the equilateral triangle ABC of perimeter 24 cm. Then the length of AG is
- In a circle, two radii OA and OB form a central angle of 120°. If the length of chord AB is 10 cm, what is the radius of the circle (in cm)?
- Find the area of triangle having sides 5 m, 6 m, and 9 m.
- 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?
- 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 a triangle, the three interior angles are in the ratio 3 : 4 : 5. What is the measure of the largest angle?
- The perimeter of a rectangle is 100 m, and its diagonal is 41 m. Find the area of the rectangle.
Relevant for Exams:
Hey! Ask a query
Please enter email id
The email must be a valid email address.
Please enter Mobile Number
Please enter valid Mobile Number
Please enter your Doubt
Think You're Ready for RBI Grade B?
RBI Grade B 2026 Phase 1 Memory Based Paper
- 200 Questions with Detailed Solutions
- Section-wise Coverage (GA, English, Quant & Reasoning)