Question
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?
From the diagram, AE = AD + DE AE = 10 + 6 = 16 cm ∠ABC = ∠CED In ∆ADB and ∆AEC, (AB)/(AE ) = (AD)/(AC) (due to Similar triangle) (AB)/(16) = (10)/(8) AB = 20 cm More Geometry Questions
- The radius of a circle is 5 cm, and the length of the chord is 6 cm. Find the distance between the chord and the centre of the circle.
- Angles of a triangle are in the ratio 3 : 4 : 5. Find the sum of the largest and smallest angle of the triangle.
- If I is the incentre of ΔABC , if ∠ BAC = 650 , then what is the measure of ∠ BIC?
- The length of the each side of an equilateral triangle is 10.5 cm. The area of incircle, (cm 2 ) is
- What will be inradius of a right angle triangle whose base is 28 cm & height is 45 cm ?
- 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?
- 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 ?
- If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 108 cm² , then the area of ∆EFG is?
- The radius of a circle is 25 cm, and the length of the chord is 14 cm. Find the distance between the chord and the centre of the circle.
- In a rectangle PQRS, a point A is located inside the rectangle. The distances from A to three of the rectangle’s vertices are given as follows: AP = 8 cm, ...
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)