Request a call back

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

CBSE Class 10 Answered

In triangle ABC,  we have AC=BC=7 and AB = 2. Suppose that D is a point on line AB such that B lies between A and D and CD =8. What is the length of the segment BD?
Asked by vikasg13.hardware | 17 Jun, 2018, 08:01: AM
answered-by-expert Expert Answer

begin mathsize 16px style by space heron apostrophe straight s space formula
straight s equals fraction numerator 7 plus 7 plus 2 over denominator 2 end fraction equals 8
area equals square root of 8 open parentheses 8 minus 7 close parentheses open parentheses 8 minus 7 close parentheses open parentheses 8 minus 2 close parentheses end root
equals 4 square root of 3
Also space
area equals fraction numerator ab space sin space straight C over denominator 2 end fraction equals fraction numerator 49 space sin space straight C over denominator 2 end fraction
fraction numerator 49 space sin space straight C over denominator 2 end fraction equals 4 square root of 3
sin space straight C equals 0.28278380
angle straight C equals 16.42642
angle straight A equals angle straight B equals 180 minus angle straight C
angle straight A equals angle straight B equals 81.7867
CE comma space the space altitude space of space triangle space ABC space equals space BC space sin space angle straight B equals 7 cross times space sin space 81.7867893 space equals space 6.92820323 space cm.
In space triangle space CDE comma space sin space CDE space equals space CE divided by CD space equals space 6.92820323 divided by 8 space
equals space 0.866025403 comma space or space angle CDE space equals space 60 space deg comma space space
DE space equals space CD space cos space 60 space equals space 8 asterisk times 0.5 space equals space 4 space cm. space
But space BE space equals space AB divided by 2 space equals space 2 divided by 2 space equals space 1 cm comma space
hence space BD space equals space DE minus BE space equals space 4 – 1 space equals space 3 space cm. space space
Answer space BD space equals space 3 space cm. end style

Answered by Arun | 18 Jun, 2018, 11:28: AM
CBSE 10 - Maths
Asked by sonawnerohan01 | 23 Mar, 2024, 12:25: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by pathakvaishnavi9139 | 23 Mar, 2024, 10:45: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by choudharyniki001 | 22 Mar, 2024, 08:49: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by vn3950372 | 18 Mar, 2024, 08:38: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by vestigevestige85 | 17 Mar, 2024, 09:44: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by suvarnaapkare | 15 Mar, 2024, 04:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by anubhutiupadhaya | 15 Mar, 2024, 03:33: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×