Let a, b, c be the lengths of sides of a triangle; a=4.8, b=0.23, and c is a whole number. Find c.
By the triangle inequality, we know that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we have:
a + b > c
4.8 + 0.23 > c
5.03 > c
Since c is a whole number, the largest possible value for c that satisfies this inequality is c = 5. Therefore, the length of the third side must be 5.
To find the length of side c in the triangle, you can use the equation of the triangle inequality theorem which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
So, in this case, we have a=4.8, b=0.23, and c is a whole number.
To find c, we can set up the following inequalities:
a + b > c
b + c > a
a + c > b
Substituting the given values, we get:
4.8 + 0.23 > c
0.23 + c > 4.8
4.8 + c > 0.23
Simplifying each inequality, we have:
5.03 > c
c > 4.57
4.8 + c > 0.23
Therefore, c must be greater than 4.57 and less than 5.03.
Since c is a whole number, the possible values for c are 5.