the sides of a triangle are xcm,x+3cm and 10cm.if x is a whole number of cm,find the lowest value of x

well, you must have

(x+3)-x < 10 < (x+3)+x
3 < 10 < 2x+3
since 3 < 10, that's the same as
2x+3 > 10
2x > 7
x > 3.5
So, x must be at least 4.

check: Sides of 4,7,10 form a triangle
3,6,10 do not, since even if the 3,6 sides are laid flat on top of the 10 side, they are not long enough to cover it.

To find the lowest value of x, we need to consider the properties of a triangle.

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Let's calculate the possible ranges for x using this information:

1. x + (x + 3) > 10
2x + 3 > 10
2x > 7
x > 7/2
x > 3.5

2. x + 10 > (x + 3)
x + 10 > x + 3
10 > 3
This inequality is always true, regardless of the value of x.

3. (x + 3) + 10 > x
x + 13 > x
13 > 0
This inequality is also always true.

Combining the results from the three inequalities, we find that x > 3.5.

Since x has to be a whole number, the lowest possible value for x is 4.

Therefore, the lowest value of x is 4 cm.