CBSE Class 9 Answered
The side of a triangle x, x+1, 2x-1, and its area is root 10. What is the value of x.
PLEASE NOTE THAT IN YOUR ANSWER YOU TOOK AREA AS X ROOT 10. IT IS ROOT 10 ONLY MENTIONED IN THE QUESTION.
Asked by Nimmi | 14 Feb, 2019, 11:51: AM
Expert Answer
we need to use Heron's formula ,
where s is semi-perimeter given by s = (a+b+c)*0.5 and a,b and c are three sides.
let a = x, b = (x+1) and c= (2x-1).
s = (1/2)(x+x-1+2x-1) = 2x
hence
we try different x-values to get f(x) = 0
f(2) = -1 , f(3) = 13 hence x is between 2 and 3
f(2.1) =-0.149 , f(2.2) = 0.808, hence x is between 2.1 and 2.2
f(2.11) = -0.058, f(2.12) = 0.034, hence we take approximately x = 2.12
Answered by Thiyagarajan K | 14 Feb, 2019, 02:50: PM
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