Prove that ac2 =ab2 + bc2+2bcxbd, Mathematics

Assignment Help:

If ABC is an obtuse angled triangle, obtuse angled at B and if AD⊥CB Prove that AC2 =AB2 + BC2+2BCxBD

1862_traingle3.png

Ans:    AC2 = AD2 + CD2

= AD2 + (BC + BD)2

= AD2 + BC2 + 2BC.BD+BD2

= AB2 + BC2 + 2BC.BD

 


Related Discussions:- Prove that ac2 =ab2 + bc2+2bcxbd

Example of vector, Provide the vector for each of the following. (a) The...

Provide the vector for each of the following. (a) The vector from (2, -7, 0) -  (1, - 3, - 5 ) (b) The vector from (1,-3,-5) - (2, - 7, 0) (c) The position vector for ( -

In an election contested between a and b determine vote, In an election con...

In an election contested between A and B, A obtained votes equal to twice the no. of persons on the electoral roll who did not cast their votes & this later number was equal to twi

Equivalence class and equivalence relation, 1. For a function f : Z → Z, le...

1. For a function f : Z → Z, let R be the relation on Z given by xRy iff f(x) = f(y). (a) Prove that R is an equivalence relation on Z. (b) If for every x ? Z, the equivalenc

System of differential equations for the population, Write down the system ...

Write down the system of differential equations for the population of both predators and prey by using the assumptions above. Solution We will start off through letting that

Intercepts, The last topic that we want to discuss in this section is that ...

The last topic that we want to discuss in this section is that of intercepts.  Notice that the graph in the above instance crosses the x-axis in two places & the y-axis in one plac

Binomial mathematical properties, Binomial Mathematical Properties 1. ...

Binomial Mathematical Properties 1. The expected or mean value = n × p = np Whereas; n = Sample Size p = Probability of success 2. The variance = npq Whereas; q =

Trignometry, how to find value of cos20 without using calculator

how to find value of cos20 without using calculator

Fraction, how do you learn about equivelant fractions

how do you learn about equivelant fractions

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd