Request a call back

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

CBSE Class 10 Answered

If ABC and DEF are two isosceles right triangles such that begin mathsize 12px style AB over DE equals 3 over 4 end style. Find the ratio of their areas.

Asked by Topperlearning User | 03 Oct, 2017, 01:37: PM
Expert Answer

 

Since, ABC and DEF are isosceles right triangles , they must be equiangular, as their angles must be begin mathsize 12px style 45 degree comma space 45 degree comma space 90 degree end style.

So we see that both the triangles are similar (AAA rule)

Hence the ratio of their areas is the same as the ratio of  the squares of their corresponding sides.

begin mathsize 12px style Hence comma space fraction numerator straight A left parenthesis increment ABC right parenthesis over denominator straight A left parenthesis increment DEF right parenthesis end fraction equals 9 over 16. end style


Answered by | 03 Oct, 2017, 03:37: PM
CBSE 10 - Maths
Asked by priyanujt35 | 27 Jul, 2020, 09:13: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by NSSORATHIYA sorathiya | 08 Mar, 2020, 10:16: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Sangsangapalian | 21 Sep, 2019, 09:34: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Topperlearning User | 05 Oct, 2017, 08:12: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Topperlearning User | 03 Oct, 2017, 01:29: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by Topperlearning User | 03 Oct, 2017, 01:37: PM
ANSWERED BY EXPERT
×