The sides of a triangle are x cm, x+3cm and 10cm.if x is a whole number of cm, find the value of x
x+3-x < 10 < x+3+x
3 < 10 < 2x+3
7 < 2x
3.5 < x
so any integer value of x > 3 will work.
To find the value of x, we need to use the fact that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
According to the given information, the sides of the triangle are x cm, x+3 cm, and 10 cm.
Using the triangle inequality theorem, we can set up the following inequalities:
x + (x + 3) > 10 (since the sum of the two smaller sides must be greater than the longest side)
2x + 3 > 10
2x > 7
x > 7/2
x > 3.5
Since x is a whole number of cm, the smallest possible value for x is 4. Any value greater than 4 will satisfy the inequality.
Therefore, the value of x is 4 or any whole number greater than 4.
To find the value of x, we need to use the properties of triangles. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
In this case, we can set up an inequality using the given values:
x + x + 3 > 10.
Simplifying the equation:
2x + 3 > 10.
Next, we solve the inequality for x:
2x > 10 - 3,
2x > 7,
x > 7/2.
So, x must be greater than 7/2. However, since x needs to be a whole number, the smallest possible value for x would be 4.
Therefore, the value of x is 4 cm.