Prove that bd/cd = bf/ce, Mathematics

Assignment Help:

In the given figure, ∠AEF=∠AFE and E is the mid-point of CA. Prove that BD/CD = BF/CE

1811_traingle 6.png

Ans:    Draw CG ¦DF In ΔBDF

CG ¦ DF

BD/CD = BF/GF     .............(1)               BPT

In ΔAFE

∠AEF=∠AFE

⇒AF=AE

⇒AF=AE=CE..............(2)

In ΔACG

E is the mid point of AC

⇒ FG = AF

∴ From (1) & (2)

BD/CD     =     BF/CE

Hence proved


Related Discussions:- Prove that bd/cd = bf/ce

Sketch the graphs, Sketch the graphs of the following functions: (A) y =...

Sketch the graphs of the following functions: (A) y = 1/(x 2 +1) (b) x=  sin x,

Maximin method -decision making under uncertainty, Decision making under un...

Decision making under uncertainty Various methods are used to make decision in circumstances whereas only the pay offs are identified and the likelihood of every state of natur

How many hours will it take for them to be 822 miles apart, Two trains leav...

Two trains leave the same city at the same time, one going east and the other going west. If one train is traveling at 65 mph and the other at 72 mph, how many hours will it take f

Probability., an insurance salesman sells policies to 5 men, all of identic...

an insurance salesman sells policies to 5 men, all of identical age in good health. the probability that a man of this particular age will be alive 30 years hence is 2/3.Find the p

Relative motion, how to find the minimum distance between any two particles...

how to find the minimum distance between any two particles which are in relative motion?

Derive the marshalian demand functions, (a) Derive the Marshalian demand fu...

(a) Derive the Marshalian demand functions for the following utility function: u(x 1 ,x 2 ,x 3 ) = x 1 + δ ln(x 2 )       x 1 ≥ 0, x 2 ≥ 0 Does one need to consider the is

Differential equation.., 3.6Find the general solution of the differential e...

3.6Find the general solution of the differential equation Y" + 4y = Sec2 2x

Steps for integration strategy - integration techniques, Steps for Integrat...

Steps for Integration Strategy 1. Simplify the integrand, if possible This step is vital in the integration process. Several integrals can be taken from impossible or ve

Determine the mean of the subsequent numbers, Determine the mean of the sub...

Determine the mean of the subsequent numbers: Example: Determine the mean of the subsequent numbers: 5, 7, 1, 3, 4 Solution: where x'          =

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