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

The shape of a graph, The Shape of a Graph, Part II : In previous we saw h...

The Shape of a Graph, Part II : In previous we saw how we could use the first derivative of a function to obtain some information regarding the graph of a function.  In this secti

Calculate log equation, Calculate log equation: Calculate log 10 2 - ...

Calculate log equation: Calculate log 10 2 - log 10 3. Solution: Rule 2. log 10   (A/B): log 10   A - log 10   B log 10   2 - log 10   3 = log 10   (2/3) =

Business mathematics, explain how business mathematics in an inbu;it compo...

explain how business mathematics in an inbu;it component of a payroll package

What is the area covered through the motion of the fan, The arm of a ceilin...

The arm of a ceiling fan measures a length of 25 in. What is the area covered through the motion of the fan blades while turned on? (π = 3.14) The ceiling fan follows a circula

the comic book, a) The first comic book is of shakitman was sold in 1938. ...

a) The first comic book is of shakitman was sold in 1938. In 2010, the estimated price for this comic book in good condition was about $500,000. This represented a return of 25 per

Determine that the following series is convergent or diverge, Determine or ...

Determine or find out if the following series is convergent or divergent. Solution In this example the function we'll use is, f (x) = 1 / (x ln x) This function is

What is order of operations simplifying expressions, What is Order of Opera...

What is Order of Operations Simplifying Expressions? Kevin gives Don directions to his house: "Go left 3 blocks and then go right 2 blocks." Don wasn't paying close attention.

Utilizes second derivative test to classify critical point, Utilizes the se...

Utilizes the second derivative test to classify the critical points of the function,                                               h ( x ) = 3x 5 - 5x 3 + 3 Solution T

Area related to circles, railway tunnel of radius 3.5 m and angle aob =90 f...

railway tunnel of radius 3.5 m and angle aob =90 find height of the tunnel

Prove any prime number is irrational, 1. Show that there do not exist integ...

1. Show that there do not exist integers x and y for which 110x + 315y = 12. 2. If a and b are odd integers, prove that a 2 +b 2 is divisible by 2 but is NOT divisible by 4. H

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