00:01
In this problem, we have been given that there is an icoscelus triangle and the two sides of this isocelus triangle, they are equal, each equal to a units.
00:11
So the third side, let's say it is x unit and we need to determine the value of the third side and also we need to compute the maximum area of this triangle.
00:25
So here it's given that this triangle is having maximum area.
00:29
So let's write down the area function.
00:31
So first we'll compute the semi -perimeter here that will be just a plus a plus x over 2.
00:40
So this comes out to be 2a plus x by 2 and that's a plus x by 2.
00:47
And using heron's formula, the area of this triangle, that is root of s into s minus first site into s minus second side into s minus third side.
01:00
So putting the value of x here, we observe that the area comes out to be root of a plus x by 2 times s minus a.
01:12
It will be just x by 2.
01:14
And this occurs twice.
01:15
So it will be x by 2 whole square into x minus x that will be a minus x by 2.
01:23
So here we observed that area function...