If each side of the triangle is doubled, then find the ratio of new triangle thus formed and the given triangle ?

Asked by nisha_vini29 | 18th May, 2017, 10:46: PM

Expert Answer:

begin mathsize 16px style Semi space perimeter space of space the space triangle space equals fraction numerator straight a plus straight b plus straight c over denominator 2 end fraction
Area space of space the space triangle equals square root of straight s open parentheses straight s minus straight a close parentheses open parentheses straight s minus straight b close parentheses open parentheses straight s minus straight c close parentheses end root
Sides space of space the space new space triangle space will space be space 2 straight a comma 2 straight b comma 2 straight c
Semi space perimeter space of space the space new space triangle equals straight a plus straight b plus straight c equals 2 straight s
Area space of space the space new space triangle equals square root of 2 straight s open parentheses 2 straight s minus 2 straight a close parentheses open parentheses 2 straight s minus 2 straight b close parentheses open parentheses 2 straight s minus 2 straight c close parentheses end root
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 4 square root of straight s open parentheses straight s minus straight a close parentheses open parentheses straight s minus straight b close parentheses open parentheses straight s minus straight c close parentheses end root equals 4 cross times area space of space the space triangle
Hence comma space ratio space is space 4 colon 1 end style

Answered by Sneha shidid | 19th May, 2017, 08:55: AM