Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

ICSE Class 10 Answered

ABC is an isosceles triangle in which AB=AC=10 cm. ,BC=12 cm. PQRS is a rectangle inside the isosceles triangle. if PQ=SR=Ycm. and PS=QR=2X cm.,then prove that X=6-3Y/4.                                                                                                                                
question image
Asked by aditisinha952003 | 17 Feb, 2019, 02:32: PM
answered-by-expert Expert Answer
 
since BC = 12 cm and QR = 2X cm, we have BQ = [ 12 - 2X ]/2 = (6-X) cm
 
since PS is parallel to BC, begin mathsize 12px style fraction numerator A P over denominator A B end fraction space equals space fraction numerator P S over denominator B C end fraction space equals space fraction numerator 2 X over denominator 12 end fraction space space space space o r space space A P space equals space X over 6 cross times 10 space space equals space fraction numerator 5 X over denominator 3 end fraction end style
Hence BP = [ 10 - (5X)/3 ]
 
In right angled triangle BPQ, we have,  Y2 = [ 10 - (5X)/3 ]2 - (6-X)2  = [ 10 - (5X)/3 + 6 - X ] [10 - (5X)/3 - 6 +X ]  ..............(1)
 
By simplifying the above expression (1), we get,  9Y2 = 16 (6-X)2    or   (3Y/4) = (6-X)    or  X = [ 6 - (3Y)/4 ]
Answered by Thiyagarajan K | 17 Feb, 2019, 09:08: PM
Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
ICSE 10 - English
Speech On Save Nature
Asked by saajanr67 | 18 Apr, 2024, 11:39: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - English
your city was recently affected by devastating floods which left a trial of destruction in its path. write a newspaper report in about in 300 word on the floods using the point give below. you may include other relevant details
Asked by gruma0633 | 21 Feb, 2024, 03:41: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - English
Each of us ____ (plan) to sign the petition 
Asked by devanandac2004 | 18 Oct, 2023, 11:06: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - English
formal letter format
Asked by khatoonrokaiya123 | 29 May, 2023, 01:05: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - English
if i have attempted all 7 questions in english literature board paper then will they check all the questions and give best of seven marks or will they only check the initial 4 attempted and not check the rest
Asked by moitra770 | 03 Mar, 2023, 08:15: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - English
*One thematic issue raised in 'An Angel in Disguise' is that there was little.* MCQ *a.*Room for acting on compassionate feelings. in the 19th century. *b.* Aid for single parents. *c.* Availability of poor houses *d.* Written about alcohol abuse.
Asked by ramgopalsjce | 28 Feb, 2023, 12:32: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - English
what is epitaph
Asked by ramgopalsjce | 28 Feb, 2023, 12:31: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - English
DO U TAKE HIS WORD ____ MINE ?
Asked by ramyavenkitesh | 26 Feb, 2023, 06:23: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - English
Sentence: "I am Priya, has been qualified for final state level volleyball tournament." Qs: Is above sentence, grammatically right? Could you please guide me on clarifying doubt.
Asked by dhivyadevim91 | 14 Jun, 2022, 09:40: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - English
Suppose that you are given power to change two things which you think are the greatest obstacles in the development of your country, which two things would you choose and why?
Asked by abubakar9839532950 | 22 May, 2022, 11:52: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×