Question
If in a ΔABC, AD is internal angle bisector & D is a
point on BC, AB = 5cm, BC = 7cm then what is BD:CD?Solution
By Internal angle bisector theorem, AB:AC = BD:CD So, 5: x = BD:CD => 5 + x = BC [BD+CD = BC] => 5 + x = 7 => x = 2 BD:CD = 5:2
Find the number of common tangents, if r1 + r2 = C1C2 .(With usual notations, r1 & r2 and C1 & C2 are the radii and centres of the two circles.)
A pyramid has a square base with a height of 12 cm. Each of the pyramid's faces is an equilateral triangle, and the area of each face is 64√3 cm². Fi...
A rectangular reservoir of 2800 m3 capacity has length and height equal to 10 m and 40 m respectively. if 420 m3 of water i...
Sahil jogs 6 times around a square field whose each side measures 16 metres. Mohan jogs 4.5 rounds around a rectangular field whose length is 30 metres ...
The area of a rectangular field is 2880 m² and its length to breadth in the ratio of 5 : 1. What is the perimeter of the field.
A race track is in the shape of a rectangle with length of 70 metres and area of 4900 m2. A car takes 5 seconds to make one lap around the pe...
The lateral surface area of a cube is 400 cm2. The length of a cuboid is 50% more than the side of the cube. The breadth of the cuboid is 12 ...
Find the time taken by a pipe, which releases 400 m3 of water in a minute to fill an empty cylindrical tank of radius 20 m and height 14 m. [...
If the area of a square field is 441 m2, then find the diagonal of the square field.
The base of a solid right prism is a triangle whose sides are 20cm, 21cm and 29cm. the height of the prism is 6 cm then the total surface area of the pr...
Relevant for Exams:
