Basic and Rich Geometry Concepts Part 9, Segment Relation for a Secant of a Circle
Secant of a circle relation: Square of a tangent segment from an external point equals product of two segments of a secant of a circle through the point.
Basic concepts on maths, mostly up to class 10. This is the most important math knowledge used in almost all competitive exams.
Secant of a circle relation: Square of a tangent segment from an external point equals product of two segments of a secant of a circle through the point.
Incenter of a triangle and Angle bisectors: Segmentation of the opposite side by an angle bisector and Segmentation of the angle bisectors at the Incenter.
The problem we'll take up this time was reported in The Sydney Morning Heraldas the hardest one in the Math Extension 2 exam paper in NSW HSW 2018 test in Australia. It was the question 16b on Geometry involving a large number of pairs of similar triangles.
Students not used to identify the key missing element from a host of elements spread all around and think strategically and systematically would find it difficult...
The challenging problem solved systematically now was reported in The Sydney Morning Herald as the hardest one in the recent Math Extension 2 exam paper in NSW HSW 2019 test in Australia.
The geometry problem and its solution hold rich learning potential...
Learn how to factorize a quadratic equation by factor analysis step by step. Practice on 25 problem exercise. Check with solution.
The result of the least value of sum of reciprocals, used in Algebra represents an important principle of value sharing.
For two positive real variables $a$ and $b$ for example, if $a+b=1$, the least value of sum of reciprocals of $a$ and $b$ will occur when the value of the sum 1 is shared equally between the two variables. This remarkable equal value sharing principle hold true for any number of variables as well as for any positive sum of the variables...
Fraction comparison is needed to solve difficult fraction problems. Six different fraction comparison techniques explained by solving selected problems.
In an analog clock the minutes hand moves faster than the hour hand and crosses it 22 times in a day, both going round and round over the clock face. In a typical clock problem, we are asked to find the angle between the two clock hands at a specific time...
Calendar rules to solve questions on calendar. Comprehensive calendar concepts for solving any calendar problem. Exercise on Calendar problems with answers.
For most needs of finding square root, if we remember by heart squares and cubes of a few common integers, using quick factorization we can figure out the square roots or cube roots of numbers be it integer or decimal. But occasionally, in a few specific types of arithmetic problems, there is no other option than to actually evaluate the square root of a number following a method specifically tailored for the purpose...