00:01
So to solve for this, it would be easier if we assign values to our sides.
00:07
Okay, so we can illustrate it better.
00:10
So let's say this is our triangle.
00:13
And this would be our a, our c and our b, a.
00:23
Let's say, i mean, that's right here.
00:27
Let's say, let's assign values to our sides.
00:30
Let's say a is equivalent to 10, b is equivalent to 8, and then c is equivalent to 5.
00:42
Okay, so to solve for the area of the triangle, when we are given with the three sides, we will use this formula.
00:54
It's a triangle is equivalent to the square root of the s, s is a similar parameter of the triangle.
01:02
S minus a is the length, multiplied by s minus b, and then another length, and then s minus c.
01:10
So s is semi -perimeter of the triangle, so that formula is you add all the sides, 10 plus 8 plus 5, me divided by 2.
01:24
S therefore is equivalent to 11 .5.
01:29
So we substitute our values.
01:31
Let us first solve for the initial area.
01:35
S is 11 .5, 11 .5 minus 10, multiplied by 11 .5 minus 8, multiplied by 11 .5 minus 5.
01:50
Solving for this the area of the given triangle initial area is equivalent to 19 .81 okay so um the next case is if the triangle sides are being divided into two so that means our new right here new dimensions we have a is equivalent to 10 divided by two because it is is being half so we have five and our b b is um eight so that's divided by two eight divided by two is four and then our c is five five divided by two is two point five so now we have our reduced dimensions so solving for our s first ester force equivalent to five plus plus two point five plus two over 2...