The side of a triangle are nc cn x+3cm and 10cm if x is a whole number of cm find the lowest value of
I get that two of the sides are x+3 and 10
But what is the 3rd side? Can't quite parse that out of the somewhat murky text.
And just what is the question, again? ...
To find the lowest possible value of x for the given triangle, we need to consider the triangle inequality theorem. According to the theorem, the sum of any two sides of a triangle must be greater than the third side.
In this case, we have the following sides:
Side 1 = nc cn x + 3 cm
Side 2 = 10 cm
Side 3 = unknown (we will solve for this)
By applying the triangle inequality theorem, we can write the following inequalities:
Side 1 + Side 2 > Side 3
Side 2 + Side 3 > Side 1
Side 3 + Side 1 > Side 2
Substituting the values, we get:
(nc cn x + 3 cm) + (10 cm) > Side 3
10 cm + Side 3 > (nc cn x + 3 cm)
Side 3 + (nc cn x + 3 cm) > 10 cm
Simplifying each inequality:
nc cn x + 13 cm > Side 3
10 cm + Side 3 > nc cn x + 3 cm
Side 3 + nc cn x + 3 cm > 10 cm
Now let's consider the lowest value for x, which is when x = 0 (since it's a whole number). Plugging x = 0 into the inequalities, we get:
nc cn (0) + 13 cm > Side 3
10 cm + Side 3 > nc cn (0) + 3 cm
Side 3 + nc cn (0) + 3 cm > 10 cm
Simplifying for x = 0:
13 cm > Side 3
10 cm + Side 3 > 3 cm
Side 3 + 3 cm > 10 cm
From these inequalities, we can conclude that the lowest possible value for Side 3 is 13 cm.