Question
In ∆ABC , G is the centroid , AB = 5 cm, BC= 8 cm and AC = 7 cm , find GD, where D is the mid-point of BC?
If AD is the median, then we know, AB² + AC² = 2{AD² + (BC/2)²} or 52 + 72 = 2{AD 2 + (8/2) 2 } or 25 + 49 = 2{AD 2 + 16} or 74/2 = AD 2 + 16 or 37 = AD 2 + 16 or AD 2 = 37 – 16 = 21 or AD = √21 = √21 Now G divides median in 2:1 so GD = 1/3 of AD = 1/3 of √21 = √21/3cmMore Geometry Questions
- If in a ΔABC, D is a point on BC such that BD = 1cm , BC = 3 cm then what is ratio of area of ΔABD to area of ΔADC ?
- A rectangle with a diagonal of length 28m is inscribed in a circle. Find the area of a circle?
- If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 96 cm² , then the area of ∆EFG is?
- The cost of diamond varies directly as the square of its weight. A diamond broke into four pieces with weights in the ratio 1: 4: 5: 6. if the loss in the ...
- A solid cylinder has radius of base 14 cm and height 15 cm. 4 identical cylinders are cut from each base as shown in the given figure. Height of small cyli...
- In ∆ABC, AB = 5cm, BC = 10cm, and AC = 13cm then find out the value of cos A.
- In the given figure CD is parallel to AB then ∠y is?
- 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?
- O is the circum centre of the isosceles ∆ ABC. Given that AB = AC = 5 cm and BC = 6 cm. The radius of the circle is
- If angle between two sides of 4 cm & 5 cm of a triangle is 30°. what is the area of the triangle ?
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)