Prove that ar= 3/7 ac of parallelogram , Mathematics

Assignment Help:

ABCD is a parallelogram in the given figure, AB is divided at P and CD and Q so that AP:PB=3:2 and CQ:QD=4:1. If PQ meets AC at R, prove that AR= 3/7 AC.

311_rectangle2.png

Ans:    ΔAPR ∼ ΔCQR (AA)

⇒  AP/CQ = PR/QR = AR/CR

⇒  AP/CQ = AR /CR   & AP= 3/5 AB

⇒ 3 AB/5C = AR/ CR & CQ= 4/5 CD = 4/5  AB

⇒  AR/CR = 3/4

⇒ CR/AR = 4/3

CR + AR/AR = 4 +1/3

⇒ AC/AR = 7/3

⇒ AR = 3/7 AC

Hence proved


Related Discussions:- Prove that ar= 3/7 ac of parallelogram

The arithmetic mean, Arithmetic mean Arithmetic means is commonly know...

Arithmetic mean Arithmetic means is commonly known as average or mean it is acquired by first of all summing up the values provided and by dividing the total value by the tota

Evaluate indefinite integrals, Evaluate following indefinite integrals. ...

Evaluate following indefinite integrals.  (a) ∫ 5t 3 -10t -6 + 4 dt  (b) ∫ dy Solution  (a) ∫ 5t 3 -10t -6 + 4 dt There's not whole lot to do here other than u

Volume., what is the volume of new ipad pro box

what is the volume of new ipad pro box

Theory of quadratic equations.., solve the following simultaneous equations...

solve the following simultaneous equations x+y=a+b ; a/x_b/y

Objectives of multiplication and division, Objectives After reading t...

Objectives After reading this unit, you should be able to 1. Explain the meaning of multiplication / division and interpret it in different contexts; 2. Convert symbo

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