Ask a Doubt
Request a call back

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

CBSE Class 10 Answered

In triangle ABC, D and E are midpoints of side AB and AC respectively. Also, DE is parallel to BC. Prove that ABC is an isosceles triangle. (4 marks )
Asked by Anukruti Valase | 07 Aug, 2014, 10:32: PM
answered-by-expert Expert Answer
Dear Student,
 
Thanks for asking us a question in Ask the Expert section of TopperLearning.com.
 
The above question posted by you is incomplete. The correct question should be as follows:
 
Q: In triangle ABC, D and E are the midpoints of sides AB and AC respectively. Also DE is parallel to BC and BD = CE. Prove that ABC is an isoceles triangle. [CBSE 2007 & 2009].
 
G i v e n : space I n space increment A B C comma space D space a n d space E space a r e space m i d p o i n t s space o f space A B space a n d space A C space r e s p e c t i v e l y. space A l s o space D E parallel to thin space B C space a n d space B D space equals space C E. T o space P r o v e : space A B space equals space A C P r o o f : space I n space increment A B C comma space D space a n d space E space a r e space m i d p o i n t s space o f space A B space a n d space A C space r e s p e c t i v e l y space a n d space D E parallel to space B C. space T h e n comma space b y space B a s i c space P r o p o r t i o n a l i t y space t h m. comma fraction numerator A D over denominator B D end fraction space equals space fraction numerator A E over denominator E C end fraction space space space space space fraction numerator A D space plus space D B over denominator B D end fraction space equals space fraction numerator A E space plus space E C over denominator E C end fraction fraction numerator A B over denominator B D end fraction equals fraction numerator A C over denominator E C end fraction space space space space space space space minus minus minus minus minus minus left parenthesis i right parenthesis N o w comma space g i v e n space i s space B D space equals space E C comma space t h e n space u sin g space i t space i n space left parenthesis i right parenthesis space w e space g e t comma fraction numerator A B over denominator B D end fraction equals fraction numerator A C over denominator B D end fraction space space T h e n comma space A B space equals space A C. F o r space increment A B C comma space i f space A B space equals space A C space t h e n space i t space i s space a n space i s o c e l e s space a n space t r i a n g l e comma
Answered by Mili Hariyani | 08 Aug, 2014, 03:08: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
find area
question image
Asked by kashinigam382 | 05 Jan, 2024, 04:21: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
what is triangle
Asked by suryapalsinghgoudmahirajbanna | 17 Sep, 2023, 10:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
hi sir can u please say hoe to find the angles of trianglr wheather it is a right angle                                                                                                                      
Asked by bnarayanamstr | 03 May, 2023, 10:03: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
plz solve urgently plz:
question image
Asked by savitamahajan202 | 30 Dec, 2022, 12:51: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
give answer
question image
Asked by kumarjogesh746 | 28 Dec, 2022, 07:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Answer of the question given below
question image
Asked by bhu.joshi54 | 04 Jul, 2022, 08:18: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
the perimeter of two similar triangles are 25cm and 15cm respectively. if one side of the first triangle is 9cm,what is the corresponding side of the other triangle
Asked by bhu.joshi54 | 16 Jun, 2022, 07:56: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
triangle
Asked by ankitamityadav65 | 06 Apr, 2022, 02:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
 in a equilateral triangle, d is a side on BC such that BD is 1/3 BC Prove that 9(AD)^2=7(AB)^2
Asked by dishapalnati82 | 24 Nov, 2021, 09:30: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Question is in image
question image
Asked by psinghaladv | 05 Oct, 2021, 07:49: 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
×