geometry
Concept
Geometry is the branch of mathematics that deals with the study of shapes, size and positions of objects. It is derived from the Greek word “geo” meaning “earth” and “metron” meaning “measurement”. Geometry can be divided into two main branches: plane geometry and solid geometry. Plane geometry deals with two dimensional shapes such as triangle, circles and squares; while solid geometry deals with three-dimensional shapes such as Cubes, Spheres and Pyramids.
The concept of geometry is based on the principles of Euclid’s axioms and postulates. These principles describe how points, lines, angles and planes interact with each other.
Q. From the time 6:15 pm to the time 7:45 pm of the same day, how many degrees does the minute hand of a standard clock rotate?
A) 540
B) 580
Duration between 6:15 pm to 7:45 pm is 90 minutes. The minute hand moves degree. Similarly, for 90 minutes, minute hand moves degree.
C) 190
D) 160
Discuss
Q. In the right triangle ▲ABC, leg AB=leg BC. The area of the triangle is 12.50. Hypotenuse AC=?
A) √5
B) 2√5
C) 5
D) 5√2
According to the question, 1/2AB x BC=12.50
Or, AB2 =25
Or, AB =5
Now, AC2 = AB2 X BC2
Or, AC2= 2.AB2
B C Or, AC2=2.52=50
Or, AC=5√2
Discuss