the sides of a triangle are xcm, (x+3)and 10cm.if x is a whole number of cm,find the lowest value of x.
The lowest value of x is 3 cm.
To find the lowest value of x, we need to apply 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.
Let's apply the theorem to the given sides of the triangle:
x + (x + 3) > 10
2x + 3 > 10
2x > 7
x > 7/2
Since x is a whole number of cm, the lowest value of x that satisfies this inequality is 4. Therefore, the lowest value of x is 4 cm.
x + x+3 < 10
so x < 3
so 2 is the largest value of x
oops. x < 7/2
so in fact, x < 3