Question
In the given figure, PQR is a triangle and quadrilateral ABCD is inscribed in it. QD = 2 cm, QC = 5 cm, CR = 3
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 = 3
cm. What is the area (in cm2) of the quadrilateral ABCD?
We draw a Ʇ PT bisect QR PT = 2√21 BY PGT ∆ PQR = ½ × 8 × 2√21 = 8√21 Area of ∆ QDC = ½ × 2 × 5 × sin θ = ½ × 2 × 5 × (2√21/10) = √21 Area of ∆ BCR = ½ × 3 × 4 × sin θ = ½ × 3 × 4 × (2√21/10) =6√21 / 5 Area of ∆ PAB = ½ × 5 × 6 × sin (180 – 200) = ½ × 5 × 6 × sin2 θ = ½ × 5 × 6 × 2 sin θ cos θ = ½ × 5 × 6 × 2 × 2√21/10 × 4/10 = 12√21 / 5 = 8√21 – (√21 + 6√21/5 + 12√21/5) = 8√21 – (√21 + 18√21/5) = 8√21 – (5√21 + 18√21/5) = 8√21 – √21 (23/5) = 40√21 – √21 (23) / 5 = 17√21 / 5More Geometry Questions
- The length of the each side of an equilateral triangle is 42√3. The area of incircle, (cm 2 ) is
- If O is circumcentre of acute angled triangle ABC, if ∠ OBC = 300 then ∠BAC = ?
- Find the difference between angle and its complement if the angle is five-thirteenth of its complement.
- Two circles have radii of 18 cm and 32 cm, and they touch each other externally. What is the length of a common tangent between them?
- ∆ ABC is similar to ∆ DEF. If area of ∆ABC is 9 sq.cm and area of ∆DEF is 16 sq.cm and BC = 2.1 cm. Then the length of EF will be
- The radius of a circle is 17 cm, and the length of the chord is 30 cm. Find the distance between the chord and the centre of the circle.
- At the centre of a circle of 20 cm radius, the angle made by an arc of 24(4/9) cm length is
- Two chords PQ and RS intersect each other at point ‘A’ inside the circle. If PQ = 5 cm, RA = 3.6 cm and AQ = 1.8 cm, find the length of RS.
- The length of the diagonal of a rectangle is 25 cm, and the ratio of its length to its breadth is 4:3. Find the area of the rectangle.
- 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?
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)